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Finding the Third Proportional to 347,876 and 755,238

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Solution

The third proportional to 347,876 and 755,238 is: 1,639,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,876 : 755,238 = 755,238 : x
  2. Step 2: Convert to fraction form
    347,876/755,238 = 755,238/x
  3. Step 3: Cross multiply
    347,876x = 755,238 × 755,238
  4. Step 4: Simplify right side
    347,876x = 570,384,436,644
  5. Step 5: Solve for x
    x = 570,384,436,644/347,876
  6. Step 6: Final answer
    x = 1,639,619.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.