I'm watching the Yellowstone River go by me with rain where I am and snow come down in the mountains next to me right now

 I'm cozy and warm in my Cabin with my wife and a beautiful view of the Yellowstone River and rain locally and snow coming down in the mountains across the river. I had asked the question in the previous article simply because I'm not familiar with Wyoming and Montana and where all their water goes. Then Answer appears to be that it goes both to the Gulf of Mexico through the Missouri River and to the Columbia river as well? I'm sharing the specific quote of how part of Yellowstone's water gets to the Columbia River which empties into the Pacific Ocean on the border of Oregon and Washington State.

begin partial quote from:

https://www.usgs.gov/observatories/yvo/news/long-journey-water-yellowstones-hot-springs-and-geysers-different-oceans

But what is the path of water flowing out of hot springs near the shores of Shoshone, Lewis and Heart Lakes, all located in the Southern part of Yellowstone, to the ocean? After trickling into Shoshone Lake, water from the hot springs along its western shore flows down the Upper Lewis River, which begins at the southern end of Shoshone Lake and pours into Lewis Lake. The Lewis River reemerges at the southern end of Lewis Lake and cascades through a steep canyon with several waterfalls into the Snake River near the southern boundary of Yellowstone National Park. The Snake River begins in southwest Yellowstone, then streams southwest into Grand Teton National Park, southern Idaho, the Oregon–Idaho border, and finally into the Columbia River in southeastern Washington after nearly 1,100 miles (1,750 km). The Columbia River, which is the largest North American river that flows into the Pacific Ocean, flows for more than 300 miles (500 km) before entering the ocean on the Oregon-Washington border. In all, water from hot springs near the shores of Shoshone and Heart Lakes traverses about 1,400 miles (2,250 kilometers) before entering the Pacific Ocean.

end quote.

By the way 2,250 kilometers is a little over 1398 miles from Yellowstone to the Pacific ocean from Yellowstone by way of the Columbia River which is the border of Washington and Oregon states in the U.S.