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Finding the Third Proportional to 327,252.66 and 694,121.91

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Solution

The third proportional to 327,252.66 and 694,121.91 is: 1,472,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,252.66 : 694,121.91 = 694,121.91 : x
  2. Step 2: Convert to fraction form
    327,252.66/694,121.91 = 694,121.91/x
  3. Step 3: Cross multiply
    327,252.66x = 694,121.91 × 694,121.91
  4. Step 4: Simplify right side
    327,252.66x = 481,805,220,736.13
  5. Step 5: Solve for x
    x = 481,805,220,736.13/327,252.66
  6. Step 6: Final answer
    x = 1,472,272.91

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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.