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Finding the Third Proportional to 267,985 and 426,577

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Solution

The third proportional to 267,985 and 426,577 is: 679,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,985 : 426,577 = 426,577 : x
  2. Step 2: Convert to fraction form
    267,985/426,577 = 426,577/x
  3. Step 3: Cross multiply
    267,985x = 426,577 × 426,577
  4. Step 4: Simplify right side
    267,985x = 181,967,936,929
  5. Step 5: Solve for x
    x = 181,967,936,929/267,985
  6. Step 6: Final answer
    x = 679,022.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.