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Finding the Third Proportional to 253,115 and 534,691

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Solution

The third proportional to 253,115 and 534,691 is: 1,129,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,115 : 534,691 = 534,691 : x
  2. Step 2: Convert to fraction form
    253,115/534,691 = 534,691/x
  3. Step 3: Cross multiply
    253,115x = 534,691 × 534,691
  4. Step 4: Simplify right side
    253,115x = 285,894,465,481
  5. Step 5: Solve for x
    x = 285,894,465,481/253,115
  6. Step 6: Final answer
    x = 1,129,504.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.