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Finding the Third Proportional to 472,637 and 726,475

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Solution

The third proportional to 472,637 and 726,475 is: 1,116,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,637 : 726,475 = 726,475 : x
  2. Step 2: Convert to fraction form
    472,637/726,475 = 726,475/x
  3. Step 3: Cross multiply
    472,637x = 726,475 × 726,475
  4. Step 4: Simplify right side
    472,637x = 527,765,925,625
  5. Step 5: Solve for x
    x = 527,765,925,625/472,637
  6. Step 6: Final answer
    x = 1,116,641.16

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Why These Related Problems?

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