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Finding the Third Proportional to 275,952 and 415,542

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Solution

The third proportional to 275,952 and 415,542 is: 625,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,952 : 415,542 = 415,542 : x
  2. Step 2: Convert to fraction form
    275,952/415,542 = 415,542/x
  3. Step 3: Cross multiply
    275,952x = 415,542 × 415,542
  4. Step 4: Simplify right side
    275,952x = 172,675,153,764
  5. Step 5: Solve for x
    x = 172,675,153,764/275,952
  6. Step 6: Final answer
    x = 625,743.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.