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Finding the Third Proportional to 368,384 and 814,193

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Solution

The third proportional to 368,384 and 814,193 is: 1,799,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,384 : 814,193 = 814,193 : x
  2. Step 2: Convert to fraction form
    368,384/814,193 = 814,193/x
  3. Step 3: Cross multiply
    368,384x = 814,193 × 814,193
  4. Step 4: Simplify right side
    368,384x = 662,910,241,249
  5. Step 5: Solve for x
    x = 662,910,241,249/368,384
  6. Step 6: Final answer
    x = 1,799,508.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.