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Finding the Third Proportional to 204,393 and 439,863

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Solution

The third proportional to 204,393 and 439,863 is: 946,605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,393 : 439,863 = 439,863 : x
  2. Step 2: Convert to fraction form
    204,393/439,863 = 439,863/x
  3. Step 3: Cross multiply
    204,393x = 439,863 × 439,863
  4. Step 4: Simplify right side
    204,393x = 193,479,458,769
  5. Step 5: Solve for x
    x = 193,479,458,769/204,393
  6. Step 6: Final answer
    x = 946,605.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.