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Finding the Third Proportional to 433,676 and 667,425

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Solution

The third proportional to 433,676 and 667,425 is: 1,027,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,676 : 667,425 = 667,425 : x
  2. Step 2: Convert to fraction form
    433,676/667,425 = 667,425/x
  3. Step 3: Cross multiply
    433,676x = 667,425 × 667,425
  4. Step 4: Simplify right side
    433,676x = 445,456,130,625
  5. Step 5: Solve for x
    x = 445,456,130,625/433,676
  6. Step 6: Final answer
    x = 1,027,163.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.