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Finding the Third Proportional to 204,869 and 449,103

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Solution

The third proportional to 204,869 and 449,103 is: 984,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,869 : 449,103 = 449,103 : x
  2. Step 2: Convert to fraction form
    204,869/449,103 = 449,103/x
  3. Step 3: Cross multiply
    204,869x = 449,103 × 449,103
  4. Step 4: Simplify right side
    204,869x = 201,693,504,609
  5. Step 5: Solve for x
    x = 201,693,504,609/204,869
  6. Step 6: Final answer
    x = 984,499.87

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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.