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Finding the Third Proportional to 327,540.38 and 694,446.19

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Solution

The third proportional to 327,540.38 and 694,446.19 is: 1,472,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,540.38 : 694,446.19 = 694,446.19 : x
  2. Step 2: Convert to fraction form
    327,540.38/694,446.19 = 694,446.19/x
  3. Step 3: Cross multiply
    327,540.38x = 694,446.19 × 694,446.19
  4. Step 4: Simplify right side
    327,540.38x = 482,255,507,333.29
  5. Step 5: Solve for x
    x = 482,255,507,333.29/327,540.38
  6. Step 6: Final answer
    x = 1,472,354.38

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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.