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Finding the Third Proportional to 267,016 and 400,577

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Solution

The third proportional to 267,016 and 400,577 is: 600,945.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,016 : 400,577 = 400,577 : x
  2. Step 2: Convert to fraction form
    267,016/400,577 = 400,577/x
  3. Step 3: Cross multiply
    267,016x = 400,577 × 400,577
  4. Step 4: Simplify right side
    267,016x = 160,461,932,929
  5. Step 5: Solve for x
    x = 160,461,932,929/267,016
  6. Step 6: Final answer
    x = 600,945.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.