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Finding the Third Proportional to 327,091.50 and 693,028.13

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Solution

The third proportional to 327,091.50 and 693,028.13 is: 1,468,359.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,091.50 : 693,028.13 = 693,028.13 : x
  2. Step 2: Convert to fraction form
    327,091.50/693,028.13 = 693,028.13/x
  3. Step 3: Cross multiply
    327,091.50x = 693,028.13 × 693,028.13
  4. Step 4: Simplify right side
    327,091.50x = 480,287,982,041.02
  5. Step 5: Solve for x
    x = 480,287,982,041.02/327,091.50
  6. Step 6: Final answer
    x = 1,468,359.72

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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.