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Finding the Third Proportional to 475,938 and 736,947

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Solution

The third proportional to 475,938 and 736,947 is: 1,141,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,938 : 736,947 = 736,947 : x
  2. Step 2: Convert to fraction form
    475,938/736,947 = 736,947/x
  3. Step 3: Cross multiply
    475,938x = 736,947 × 736,947
  4. Step 4: Simplify right side
    475,938x = 543,090,880,809
  5. Step 5: Solve for x
    x = 543,090,880,809/475,938
  6. Step 6: Final answer
    x = 1,141,095.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.