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Finding the Third Proportional to 338,814.56 and 451,691.44

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Solution

The third proportional to 338,814.56 and 451,691.44 is: 602,173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,814.56 : 451,691.44 = 451,691.44 : x
  2. Step 2: Convert to fraction form
    338,814.56/451,691.44 = 451,691.44/x
  3. Step 3: Cross multiply
    338,814.56x = 451,691.44 × 451,691.44
  4. Step 4: Simplify right side
    338,814.56x = 204,025,154,710.82
  5. Step 5: Solve for x
    x = 204,025,154,710.82/338,814.56
  6. Step 6: Final answer
    x = 602,173.51

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Why These Related Problems?

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