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Finding the Third Proportional to 267,058 and 541,492

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Solution

The third proportional to 267,058 and 541,492 is: 1,097,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,058 : 541,492 = 541,492 : x
  2. Step 2: Convert to fraction form
    267,058/541,492 = 541,492/x
  3. Step 3: Cross multiply
    267,058x = 541,492 × 541,492
  4. Step 4: Simplify right side
    267,058x = 293,213,586,064
  5. Step 5: Solve for x
    x = 293,213,586,064/267,058
  6. Step 6: Final answer
    x = 1,097,939.72

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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.