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Finding the Third Proportional to 396,522 and 614,196

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Solution

The third proportional to 396,522 and 614,196 is: 951,363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,522 : 614,196 = 614,196 : x
  2. Step 2: Convert to fraction form
    396,522/614,196 = 614,196/x
  3. Step 3: Cross multiply
    396,522x = 614,196 × 614,196
  4. Step 4: Simplify right side
    396,522x = 377,236,726,416
  5. Step 5: Solve for x
    x = 377,236,726,416/396,522
  6. Step 6: Final answer
    x = 951,363.93

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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.