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Finding the Third Proportional to 306,704 and 667,408

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Solution

The third proportional to 306,704 and 667,408 is: 1,452,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,704 : 667,408 = 667,408 : x
  2. Step 2: Convert to fraction form
    306,704/667,408 = 667,408/x
  3. Step 3: Cross multiply
    306,704x = 667,408 × 667,408
  4. Step 4: Simplify right side
    306,704x = 445,433,438,464
  5. Step 5: Solve for x
    x = 445,433,438,464/306,704
  6. Step 6: Final answer
    x = 1,452,323.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.