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Finding the Third Proportional to 339,198.38 and 527,471.06

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Solution

The third proportional to 339,198.38 and 527,471.06 is: 820,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,198.38 : 527,471.06 = 527,471.06 : x
  2. Step 2: Convert to fraction form
    339,198.38/527,471.06 = 527,471.06/x
  3. Step 3: Cross multiply
    339,198.38x = 527,471.06 × 527,471.06
  4. Step 4: Simplify right side
    339,198.38x = 278,225,721,774.88
  5. Step 5: Solve for x
    x = 278,225,721,774.88/339,198.38
  6. Step 6: Final answer
    x = 820,244.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.