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Finding the Third Proportional to 539,624 and 791,940

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Solution

The third proportional to 539,624 and 791,940 is: 1,162,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,624 : 791,940 = 791,940 : x
  2. Step 2: Convert to fraction form
    539,624/791,940 = 791,940/x
  3. Step 3: Cross multiply
    539,624x = 791,940 × 791,940
  4. Step 4: Simplify right side
    539,624x = 627,168,963,600
  5. Step 5: Solve for x
    x = 627,168,963,600/539,624
  6. Step 6: Final answer
    x = 1,162,233.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.