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Finding the Third Proportional to 204,979 and 449,446

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Solution

The third proportional to 204,979 and 449,446 is: 985,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,979 : 449,446 = 449,446 : x
  2. Step 2: Convert to fraction form
    204,979/449,446 = 449,446/x
  3. Step 3: Cross multiply
    204,979x = 449,446 × 449,446
  4. Step 4: Simplify right side
    204,979x = 202,001,706,916
  5. Step 5: Solve for x
    x = 202,001,706,916/204,979
  6. Step 6: Final answer
    x = 985,475.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.