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Finding the Third Proportional to 207,872 and 447,797

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Solution

The third proportional to 207,872 and 447,797 is: 964,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,872 : 447,797 = 447,797 : x
  2. Step 2: Convert to fraction form
    207,872/447,797 = 447,797/x
  3. Step 3: Cross multiply
    207,872x = 447,797 × 447,797
  4. Step 4: Simplify right side
    207,872x = 200,522,153,209
  5. Step 5: Solve for x
    x = 200,522,153,209/207,872
  6. Step 6: Final answer
    x = 964,642.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.