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Finding the Third Proportional to 205,708 and 449,864

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Solution

The third proportional to 205,708 and 449,864 is: 983,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,708 : 449,864 = 449,864 : x
  2. Step 2: Convert to fraction form
    205,708/449,864 = 449,864/x
  3. Step 3: Cross multiply
    205,708x = 449,864 × 449,864
  4. Step 4: Simplify right side
    205,708x = 202,377,618,496
  5. Step 5: Solve for x
    x = 202,377,618,496/205,708
  6. Step 6: Final answer
    x = 983,810.15

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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.