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Finding the Third Proportional to 396,524 and 614,199

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Solution

The third proportional to 396,524 and 614,199 is: 951,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,524 : 614,199 = 614,199 : x
  2. Step 2: Convert to fraction form
    396,524/614,199 = 614,199/x
  3. Step 3: Cross multiply
    396,524x = 614,199 × 614,199
  4. Step 4: Simplify right side
    396,524x = 377,240,411,601
  5. Step 5: Solve for x
    x = 377,240,411,601/396,524
  6. Step 6: Final answer
    x = 951,368.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.