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Finding the Third Proportional to 207,711.75 and 451,872.75

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Solution

The third proportional to 207,711.75 and 451,872.75 is: 983,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,711.75 : 451,872.75 = 451,872.75 : x
  2. Step 2: Convert to fraction form
    207,711.75/451,872.75 = 451,872.75/x
  3. Step 3: Cross multiply
    207,711.75x = 451,872.75 × 451,872.75
  4. Step 4: Simplify right side
    207,711.75x = 204,188,982,192.56
  5. Step 5: Solve for x
    x = 204,188,982,192.56/207,711.75
  6. Step 6: Final answer
    x = 983,040.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.