613 miles.
Saux Rapid is a city in Benton County, Minnesota. There is no Saux Rapid, South Dakota.
625 miles
Minnesota and South Dakota share a border, so it is theoretically possible to stand in both states at once. Rapid City to Duluth is over 700 miles.
It is 610 miles according to Google Maps.
Minnesota is the state which is east of both North Dakota and South Dakota. Minnesota shares its western border with North Dakota and South Dakota. Minnesota is bordered on the south by Iowa and on the east by Wisconsin and Michigan. Minnesota is bordered on the north by the Canadian provinces of Manitoba and Ontario.
North Dakota and South Dakota are both immediately to the West of Minnesota.North and South Dakota are both on the western border of Minnesota.
rapid city South Dakota
The Dakota Hog Back is a physical characteristic of Rapid City, South Dakota.
South Dakota (south), Minnesota (east), Montana (west).
The US state of Minnesota borders North Dakota and part of South Dakota on their eastern borders and the US state of Montana borders North Dakota and part of South Dakota on their western borders.
Minnesota is east of North Dakota and South Dakota.
Yankton, South Dakota is on the border of South Dakota and Nebraska as are North Siuox City and Dakota Dunes, South Dakota. Big Stone City, South Dakota is on the border of South Dakota and Minnesota. Lemmon, South Dakota is located on the border of South Dakota and North Dakota.