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Finding the Third Proportional to 327,183.75 and 491,122.13

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Solution

The third proportional to 327,183.75 and 491,122.13 is: 737,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,183.75 : 491,122.13 = 491,122.13 : x
  2. Step 2: Convert to fraction form
    327,183.75/491,122.13 = 491,122.13/x
  3. Step 3: Cross multiply
    327,183.75x = 491,122.13 × 491,122.13
  4. Step 4: Simplify right side
    327,183.75x = 241,200,941,664.52
  5. Step 5: Solve for x
    x = 241,200,941,664.52/327,183.75
  6. Step 6: Final answer
    x = 737,203.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.