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Finding the Third Proportional to 327,179.25 and 479,982.38

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Solution

The third proportional to 327,179.25 and 479,982.38 is: 704,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,179.25 : 479,982.38 = 479,982.38 : x
  2. Step 2: Convert to fraction form
    327,179.25/479,982.38 = 479,982.38/x
  3. Step 3: Cross multiply
    327,179.25x = 479,982.38 × 479,982.38
  4. Step 4: Simplify right side
    327,179.25x = 230,383,080,310.64
  5. Step 5: Solve for x
    x = 230,383,080,310.64/327,179.25
  6. Step 6: Final answer
    x = 704,149.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.