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Finding the Third Proportional to 539,616 and 791,932

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Solution

The third proportional to 539,616 and 791,932 is: 1,162,227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,616 : 791,932 = 791,932 : x
  2. Step 2: Convert to fraction form
    539,616/791,932 = 791,932/x
  3. Step 3: Cross multiply
    539,616x = 791,932 × 791,932
  4. Step 4: Simplify right side
    539,616x = 627,156,292,624
  5. Step 5: Solve for x
    x = 627,156,292,624/539,616
  6. Step 6: Final answer
    x = 1,162,227.01

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Why These Related Problems?

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