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Finding the Third Proportional to 339,877.69 and 476,440.31

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Solution

The third proportional to 339,877.69 and 476,440.31 is: 667,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,877.69 : 476,440.31 = 476,440.31 : x
  2. Step 2: Convert to fraction form
    339,877.69/476,440.31 = 476,440.31/x
  3. Step 3: Cross multiply
    339,877.69x = 476,440.31 × 476,440.31
  4. Step 4: Simplify right side
    339,877.69x = 226,995,371,375.10
  5. Step 5: Solve for x
    x = 226,995,371,375.10/339,877.69
  6. Step 6: Final answer
    x = 667,873.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.