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Finding the Third Proportional to 539,632 and 791,951

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Solution

The third proportional to 539,632 and 791,951 is: 1,162,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,632 : 791,951 = 791,951 : x
  2. Step 2: Convert to fraction form
    539,632/791,951 = 791,951/x
  3. Step 3: Cross multiply
    539,632x = 791,951 × 791,951
  4. Step 4: Simplify right side
    539,632x = 627,186,386,401
  5. Step 5: Solve for x
    x = 627,186,386,401/539,632
  6. Step 6: Final answer
    x = 1,162,248.32

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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.