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Finding the Third Proportional to 207,876 and 449,016

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Solution

The third proportional to 207,876 and 449,016 is: 969,882.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,876 : 449,016 = 449,016 : x
  2. Step 2: Convert to fraction form
    207,876/449,016 = 449,016/x
  3. Step 3: Cross multiply
    207,876x = 449,016 × 449,016
  4. Step 4: Simplify right side
    207,876x = 201,615,368,256
  5. Step 5: Solve for x
    x = 201,615,368,256/207,876
  6. Step 6: Final answer
    x = 969,882.85

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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.