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Finding the Third Proportional to 252,938.25 and 541,933.88

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Solution

The third proportional to 252,938.25 and 541,933.88 is: 1,161,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,938.25 : 541,933.88 = 541,933.88 : x
  2. Step 2: Convert to fraction form
    252,938.25/541,933.88 = 541,933.88/x
  3. Step 3: Cross multiply
    252,938.25x = 541,933.88 × 541,933.88
  4. Step 4: Simplify right side
    252,938.25x = 293,692,324,872.52
  5. Step 5: Solve for x
    x = 293,692,324,872.52/252,938.25
  6. Step 6: Final answer
    x = 1,161,122.63

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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.