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Finding the Third Proportional to 267,034 and 541,436

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Solution

The third proportional to 267,034 and 541,436 is: 1,097,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,034 : 541,436 = 541,436 : x
  2. Step 2: Convert to fraction form
    267,034/541,436 = 541,436/x
  3. Step 3: Cross multiply
    267,034x = 541,436 × 541,436
  4. Step 4: Simplify right side
    267,034x = 293,152,942,096
  5. Step 5: Solve for x
    x = 293,152,942,096/267,034
  6. Step 6: Final answer
    x = 1,097,811.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.