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Finding the Third Proportional to 396,054 and 527,931

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Solution

The third proportional to 396,054 and 527,931 is: 703,720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,054 : 527,931 = 527,931 : x
  2. Step 2: Convert to fraction form
    396,054/527,931 = 527,931/x
  3. Step 3: Cross multiply
    396,054x = 527,931 × 527,931
  4. Step 4: Simplify right side
    396,054x = 278,711,140,761
  5. Step 5: Solve for x
    x = 278,711,140,761/396,054
  6. Step 6: Final answer
    x = 703,720.05

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.