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Finding the Third Proportional to 433,674 and 667,422

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Solution

The third proportional to 433,674 and 667,422 is: 1,027,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,674 : 667,422 = 667,422 : x
  2. Step 2: Convert to fraction form
    433,674/667,422 = 667,422/x
  3. Step 3: Cross multiply
    433,674x = 667,422 × 667,422
  4. Step 4: Simplify right side
    433,674x = 445,452,126,084
  5. Step 5: Solve for x
    x = 445,452,126,084/433,674
  6. Step 6: Final answer
    x = 1,027,158.94

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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.