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Finding the Third Proportional to 306,069 and 667,238

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Solution

The third proportional to 306,069 and 667,238 is: 1,454,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,069 : 667,238 = 667,238 : x
  2. Step 2: Convert to fraction form
    306,069/667,238 = 667,238/x
  3. Step 3: Cross multiply
    306,069x = 667,238 × 667,238
  4. Step 4: Simplify right side
    306,069x = 445,206,548,644
  5. Step 5: Solve for x
    x = 445,206,548,644/306,069
  6. Step 6: Final answer
    x = 1,454,595.36

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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.