Final answer:
The Moselle River rises in France, flows through Luxembourg, and empties into the Rhine at Koblenz, serving as an important waterway for commerce and linking significant industrial regions in Central Europe.
Step-by-step explanation:
The river that rises in France, flows through Luxembourg, and empties into the Rhine at Koblenz is the Moselle River. The Moselle is a tributary of the Rhine and is known for being a picturesque route with historic towns that punctuate its course.
These rivers not only define the geography but also have important economic implications. The Rhine River serves as a commercial highway for goods transportation and is an integral part of the industrial and economic landscape in Central Europe, particularly linking areas like the political capital of the EU, Strasbourg, the industrial city of Lyon, and Rotterdam, which is known for its port, one of the busiest in the world.