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Finding the Third Proportional to 327,542.50 and 694,450

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Solution

The third proportional to 327,542.50 and 694,450 is: 1,472,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,542.50 : 694,450 = 694,450 : x
  2. Step 2: Convert to fraction form
    327,542.50/694,450 = 694,450/x
  3. Step 3: Cross multiply
    327,542.50x = 694,450 × 694,450
  4. Step 4: Simplify right side
    327,542.50x = 482,260,802,500
  5. Step 5: Solve for x
    x = 482,260,802,500/327,542.50
  6. Step 6: Final answer
    x = 1,472,361.00

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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.