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Finding the Third Proportional to 396,036 and 538,092

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Solution

The third proportional to 396,036 and 538,092 is: 731,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,036 : 538,092 = 538,092 : x
  2. Step 2: Convert to fraction form
    396,036/538,092 = 538,092/x
  3. Step 3: Cross multiply
    396,036x = 538,092 × 538,092
  4. Step 4: Simplify right side
    396,036x = 289,543,000,464
  5. Step 5: Solve for x
    x = 289,543,000,464/396,036
  6. Step 6: Final answer
    x = 731,102.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.