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Finding the Third Proportional to 269,794 and 395,942

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Solution

The third proportional to 269,794 and 395,942 is: 581,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,794 : 395,942 = 395,942 : x
  2. Step 2: Convert to fraction form
    269,794/395,942 = 395,942/x
  3. Step 3: Cross multiply
    269,794x = 395,942 × 395,942
  4. Step 4: Simplify right side
    269,794x = 156,770,067,364
  5. Step 5: Solve for x
    x = 156,770,067,364/269,794
  6. Step 6: Final answer
    x = 581,073.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.