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Finding the Third Proportional to 327,037.50 and 701,358.75

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Solution

The third proportional to 327,037.50 and 701,358.75 is: 1,504,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,037.50 : 701,358.75 = 701,358.75 : x
  2. Step 2: Convert to fraction form
    327,037.50/701,358.75 = 701,358.75/x
  3. Step 3: Cross multiply
    327,037.50x = 701,358.75 × 701,358.75
  4. Step 4: Simplify right side
    327,037.50x = 491,904,096,201.56
  5. Step 5: Solve for x
    x = 491,904,096,201.56/327,037.50
  6. Step 6: Final answer
    x = 1,504,121.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.