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Finding the Third Proportional to 252,234 and 541,647

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Solution

The third proportional to 252,234 and 541,647 is: 1,163,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,234 : 541,647 = 541,647 : x
  2. Step 2: Convert to fraction form
    252,234/541,647 = 541,647/x
  3. Step 3: Cross multiply
    252,234x = 541,647 × 541,647
  4. Step 4: Simplify right side
    252,234x = 293,381,472,609
  5. Step 5: Solve for x
    x = 293,381,472,609/252,234
  6. Step 6: Final answer
    x = 1,163,132.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.