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Finding the Third Proportional to 205,782 and 449,436

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Solution

The third proportional to 205,782 and 449,436 is: 981,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,782 : 449,436 = 449,436 : x
  2. Step 2: Convert to fraction form
    205,782/449,436 = 449,436/x
  3. Step 3: Cross multiply
    205,782x = 449,436 × 449,436
  4. Step 4: Simplify right side
    205,782x = 201,992,718,096
  5. Step 5: Solve for x
    x = 201,992,718,096/205,782
  6. Step 6: Final answer
    x = 981,585.94

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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.