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Finding the Third Proportional to 285,766 and 614,542

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Solution

The third proportional to 285,766 and 614,542 is: 1,321,577.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,766 : 614,542 = 614,542 : x
  2. Step 2: Convert to fraction form
    285,766/614,542 = 614,542/x
  3. Step 3: Cross multiply
    285,766x = 614,542 × 614,542
  4. Step 4: Simplify right side
    285,766x = 377,661,869,764
  5. Step 5: Solve for x
    x = 377,661,869,764/285,766
  6. Step 6: Final answer
    x = 1,321,577.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.