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Finding the Third Proportional to 327,412.13 and 462,140.44

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Solution

The third proportional to 327,412.13 and 462,140.44 is: 652,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,412.13 : 462,140.44 = 462,140.44 : x
  2. Step 2: Convert to fraction form
    327,412.13/462,140.44 = 462,140.44/x
  3. Step 3: Cross multiply
    327,412.13x = 462,140.44 × 462,140.44
  4. Step 4: Simplify right side
    327,412.13x = 213,573,783,972.69
  5. Step 5: Solve for x
    x = 213,573,783,972.69/327,412.13
  6. Step 6: Final answer
    x = 652,308.72

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.