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Finding the Third Proportional to 322,277 and 691,186

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Solution

The third proportional to 322,277 and 691,186 is: 1,482,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,277 : 691,186 = 691,186 : x
  2. Step 2: Convert to fraction form
    322,277/691,186 = 691,186/x
  3. Step 3: Cross multiply
    322,277x = 691,186 × 691,186
  4. Step 4: Simplify right side
    322,277x = 477,738,086,596
  5. Step 5: Solve for x
    x = 477,738,086,596/322,277
  6. Step 6: Final answer
    x = 1,482,383.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.