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Finding the Third Proportional to 204,616 and 449,839

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Solution

The third proportional to 204,616 and 449,839 is: 988,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,616 : 449,839 = 449,839 : x
  2. Step 2: Convert to fraction form
    204,616/449,839 = 449,839/x
  3. Step 3: Cross multiply
    204,616x = 449,839 × 449,839
  4. Step 4: Simplify right side
    204,616x = 202,355,125,921
  5. Step 5: Solve for x
    x = 202,355,125,921/204,616
  6. Step 6: Final answer
    x = 988,950.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.