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Finding the Third Proportional to 539,616 and 791,928

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Solution

The third proportional to 539,616 and 791,928 is: 1,162,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,616 : 791,928 = 791,928 : x
  2. Step 2: Convert to fraction form
    539,616/791,928 = 791,928/x
  3. Step 3: Cross multiply
    539,616x = 791,928 × 791,928
  4. Step 4: Simplify right side
    539,616x = 627,149,957,184
  5. Step 5: Solve for x
    x = 627,149,957,184/539,616
  6. Step 6: Final answer
    x = 1,162,215.27

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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.