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Finding the Third Proportional to 288,424 and 395,694

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Solution

The third proportional to 288,424 and 395,694 is: 542,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,424 : 395,694 = 395,694 : x
  2. Step 2: Convert to fraction form
    288,424/395,694 = 395,694/x
  3. Step 3: Cross multiply
    288,424x = 395,694 × 395,694
  4. Step 4: Simplify right side
    288,424x = 156,573,741,636
  5. Step 5: Solve for x
    x = 156,573,741,636/288,424
  6. Step 6: Final answer
    x = 542,859.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.