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Finding the Third Proportional to 427,466 and 667,077

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Solution

The third proportional to 427,466 and 667,077 is: 1,040,999.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,466 : 667,077 = 667,077 : x
  2. Step 2: Convert to fraction form
    427,466/667,077 = 667,077/x
  3. Step 3: Cross multiply
    427,466x = 667,077 × 667,077
  4. Step 4: Simplify right side
    427,466x = 444,991,723,929
  5. Step 5: Solve for x
    x = 444,991,723,929/427,466
  6. Step 6: Final answer
    x = 1,040,999.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.