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Finding the Third Proportional to 205,393 and 441,344

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Solution

The third proportional to 205,393 and 441,344 is: 948,350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,393 : 441,344 = 441,344 : x
  2. Step 2: Convert to fraction form
    205,393/441,344 = 441,344/x
  3. Step 3: Cross multiply
    205,393x = 441,344 × 441,344
  4. Step 4: Simplify right side
    205,393x = 194,784,526,336
  5. Step 5: Solve for x
    x = 194,784,526,336/205,393
  6. Step 6: Final answer
    x = 948,350.36

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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.