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Finding the Third Proportional to 472,635 and 726,472.50

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Solution

The third proportional to 472,635 and 726,472.50 is: 1,116,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,635 : 726,472.50 = 726,472.50 : x
  2. Step 2: Convert to fraction form
    472,635/726,472.50 = 726,472.50/x
  3. Step 3: Cross multiply
    472,635x = 726,472.50 × 726,472.50
  4. Step 4: Simplify right side
    472,635x = 527,762,293,256.25
  5. Step 5: Solve for x
    x = 527,762,293,256.25/472,635
  6. Step 6: Final answer
    x = 1,116,638.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.