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Finding the Third Proportional to 307,734 and 667,926

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Solution

The third proportional to 307,734 and 667,926 is: 1,449,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,734 : 667,926 = 667,926 : x
  2. Step 2: Convert to fraction form
    307,734/667,926 = 667,926/x
  3. Step 3: Cross multiply
    307,734x = 667,926 × 667,926
  4. Step 4: Simplify right side
    307,734x = 446,125,141,476
  5. Step 5: Solve for x
    x = 446,125,141,476/307,734
  6. Step 6: Final answer
    x = 1,449,710.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.