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Finding the Third Proportional to 327,681.28 and 442,717.31

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Solution

The third proportional to 327,681.28 and 442,717.31 is: 598,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,681.28 : 442,717.31 = 442,717.31 : x
  2. Step 2: Convert to fraction form
    327,681.28/442,717.31 = 442,717.31/x
  3. Step 3: Cross multiply
    327,681.28x = 442,717.31 × 442,717.31
  4. Step 4: Simplify right side
    327,681.28x = 195,998,618,787.22
  5. Step 5: Solve for x
    x = 195,998,618,787.22/327,681.28
  6. Step 6: Final answer
    x = 598,137.98

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.