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Finding the Third Proportional to 207,332 and 447,744

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Solution

The third proportional to 207,332 and 447,744 is: 966,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,332 : 447,744 = 447,744 : x
  2. Step 2: Convert to fraction form
    207,332/447,744 = 447,744/x
  3. Step 3: Cross multiply
    207,332x = 447,744 × 447,744
  4. Step 4: Simplify right side
    207,332x = 200,474,689,536
  5. Step 5: Solve for x
    x = 200,474,689,536/207,332
  6. Step 6: Final answer
    x = 966,925.94

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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.