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Finding the Third Proportional to 269,788 and 395,934

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Solution

The third proportional to 269,788 and 395,934 is: 581,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,788 : 395,934 = 395,934 : x
  2. Step 2: Convert to fraction form
    269,788/395,934 = 395,934/x
  3. Step 3: Cross multiply
    269,788x = 395,934 × 395,934
  4. Step 4: Simplify right side
    269,788x = 156,763,732,356
  5. Step 5: Solve for x
    x = 156,763,732,356/269,788
  6. Step 6: Final answer
    x = 581,062.66

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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.