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Finding the Third Proportional to 204,993 and 449,467

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Solution

The third proportional to 204,993 and 449,467 is: 985,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,993 : 449,467 = 449,467 : x
  2. Step 2: Convert to fraction form
    204,993/449,467 = 449,467/x
  3. Step 3: Cross multiply
    204,993x = 449,467 × 449,467
  4. Step 4: Simplify right side
    204,993x = 202,020,584,089
  5. Step 5: Solve for x
    x = 202,020,584,089/204,993
  6. Step 6: Final answer
    x = 985,499.92

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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.