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Finding the Third Proportional to 267,064 and 541,504

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Solution

The third proportional to 267,064 and 541,504 is: 1,097,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,064 : 541,504 = 541,504 : x
  2. Step 2: Convert to fraction form
    267,064/541,504 = 541,504/x
  3. Step 3: Cross multiply
    267,064x = 541,504 × 541,504
  4. Step 4: Simplify right side
    267,064x = 293,226,582,016
  5. Step 5: Solve for x
    x = 293,226,582,016/267,064
  6. Step 6: Final answer
    x = 1,097,963.72

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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.