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Finding the Third Proportional to 207,711.75 and 451,873.50

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Solution

The third proportional to 207,711.75 and 451,873.50 is: 983,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,711.75 : 451,873.50 = 451,873.50 : x
  2. Step 2: Convert to fraction form
    207,711.75/451,873.50 = 451,873.50/x
  3. Step 3: Cross multiply
    207,711.75x = 451,873.50 × 451,873.50
  4. Step 4: Simplify right side
    207,711.75x = 204,189,660,002.25
  5. Step 5: Solve for x
    x = 204,189,660,002.25/207,711.75
  6. Step 6: Final answer
    x = 983,043.38

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Why These Related Problems?

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