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Finding the Third Proportional to 539,614 and 779,587

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Solution

The third proportional to 539,614 and 779,587 is: 1,126,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,614 : 779,587 = 779,587 : x
  2. Step 2: Convert to fraction form
    539,614/779,587 = 779,587/x
  3. Step 3: Cross multiply
    539,614x = 779,587 × 779,587
  4. Step 4: Simplify right side
    539,614x = 607,755,890,569
  5. Step 5: Solve for x
    x = 607,755,890,569/539,614
  6. Step 6: Final answer
    x = 1,126,278.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.