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Finding the Third Proportional to 269,452.13 and 374,647.78

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Solution

The third proportional to 269,452.13 and 374,647.78 is: 520,912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,452.13 : 374,647.78 = 374,647.78 : x
  2. Step 2: Convert to fraction form
    269,452.13/374,647.78 = 374,647.78/x
  3. Step 3: Cross multiply
    269,452.13x = 374,647.78 × 374,647.78
  4. Step 4: Simplify right side
    269,452.13x = 140,360,959,995.55
  5. Step 5: Solve for x
    x = 140,360,959,995.55/269,452.13
  6. Step 6: Final answer
    x = 520,912.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.