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Finding the Third Proportional to 447,964.88 and 967,246.88

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Solution

The third proportional to 447,964.88 and 967,246.88 is: 2,088,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,964.88 : 967,246.88 = 967,246.88 : x
  2. Step 2: Convert to fraction form
    447,964.88/967,246.88 = 967,246.88/x
  3. Step 3: Cross multiply
    447,964.88x = 967,246.88 × 967,246.88
  4. Step 4: Simplify right side
    447,964.88x = 935,566,517,197.27
  5. Step 5: Solve for x
    x = 935,566,517,197.27/447,964.88
  6. Step 6: Final answer
    x = 2,088,481.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.