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Finding the Third Proportional to 327,548.06 and 694,462.13

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Solution

The third proportional to 327,548.06 and 694,462.13 is: 1,472,387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,548.06 : 694,462.13 = 694,462.13 : x
  2. Step 2: Convert to fraction form
    327,548.06/694,462.13 = 694,462.13/x
  3. Step 3: Cross multiply
    327,548.06x = 694,462.13 × 694,462.13
  4. Step 4: Simplify right side
    327,548.06x = 482,277,643,059.52
  5. Step 5: Solve for x
    x = 482,277,643,059.52/327,548.06
  6. Step 6: Final answer
    x = 1,472,387.41

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.