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Finding the Third Proportional to 204,867 and 449,099

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Solution

The third proportional to 204,867 and 449,099 is: 984,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,867 : 449,099 = 449,099 : x
  2. Step 2: Convert to fraction form
    204,867/449,099 = 449,099/x
  3. Step 3: Cross multiply
    204,867x = 449,099 × 449,099
  4. Step 4: Simplify right side
    204,867x = 201,689,911,801
  5. Step 5: Solve for x
    x = 201,689,911,801/204,867
  6. Step 6: Final answer
    x = 984,491.95

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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.