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677 miles is about three-tenths as long as The Oregon Trail.
In other words, it's 0.3120 times the length of The Oregon Trail, and the length of The Oregon Trail is 3.210 times that amount.
(from Independence, Missouri to Oregon City, Oregon)
The historic Oregon Trail stretched 2,170 miles across five (sometimes six) states in the western United States. In the early years of the Trail's existence, the trip was estimated to have taken an average of 160 days.
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