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Finding the Third Proportional to 396,137.25 and 592,687.13

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Solution

The third proportional to 396,137.25 and 592,687.13 is: 886,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,137.25 : 592,687.13 = 592,687.13 : x
  2. Step 2: Convert to fraction form
    396,137.25/592,687.13 = 592,687.13/x
  3. Step 3: Cross multiply
    396,137.25x = 592,687.13 × 592,687.13
  4. Step 4: Simplify right side
    396,137.25x = 351,278,028,140.77
  5. Step 5: Solve for x
    x = 351,278,028,140.77/396,137.25
  6. Step 6: Final answer
    x = 886,758.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.