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Finding the Third Proportional to 205,839 and 449,550

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Solution

The third proportional to 205,839 and 449,550 is: 981,812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,839 : 449,550 = 449,550 : x
  2. Step 2: Convert to fraction form
    205,839/449,550 = 449,550/x
  3. Step 3: Cross multiply
    205,839x = 449,550 × 449,550
  4. Step 4: Simplify right side
    205,839x = 202,095,202,500
  5. Step 5: Solve for x
    x = 202,095,202,500/205,839
  6. Step 6: Final answer
    x = 981,812.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.