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Finding the Third Proportional to 293,761 and 396,353

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Solution

The third proportional to 293,761 and 396,353 is: 534,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,761 : 396,353 = 396,353 : x
  2. Step 2: Convert to fraction form
    293,761/396,353 = 396,353/x
  3. Step 3: Cross multiply
    293,761x = 396,353 × 396,353
  4. Step 4: Simplify right side
    293,761x = 157,095,700,609
  5. Step 5: Solve for x
    x = 157,095,700,609/293,761
  6. Step 6: Final answer
    x = 534,773.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.