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Finding the Third Proportional to 325,686 and 667,164

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Solution

The third proportional to 325,686 and 667,164 is: 1,366,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,686 : 667,164 = 667,164 : x
  2. Step 2: Convert to fraction form
    325,686/667,164 = 667,164/x
  3. Step 3: Cross multiply
    325,686x = 667,164 × 667,164
  4. Step 4: Simplify right side
    325,686x = 445,107,802,896
  5. Step 5: Solve for x
    x = 445,107,802,896/325,686
  6. Step 6: Final answer
    x = 1,366,677.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.