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Finding the Third Proportional to 253,230 and 541,452

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Solution

The third proportional to 253,230 and 541,452 is: 1,157,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,230 : 541,452 = 541,452 : x
  2. Step 2: Convert to fraction form
    253,230/541,452 = 541,452/x
  3. Step 3: Cross multiply
    253,230x = 541,452 × 541,452
  4. Step 4: Simplify right side
    253,230x = 293,170,268,304
  5. Step 5: Solve for x
    x = 293,170,268,304/253,230
  6. Step 6: Final answer
    x = 1,157,723.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.