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Finding the Third Proportional to 322,283 and 691,198

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Solution

The third proportional to 322,283 and 691,198 is: 1,482,407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,283 : 691,198 = 691,198 : x
  2. Step 2: Convert to fraction form
    322,283/691,198 = 691,198/x
  3. Step 3: Cross multiply
    322,283x = 691,198 × 691,198
  4. Step 4: Simplify right side
    322,283x = 477,754,675,204
  5. Step 5: Solve for x
    x = 477,754,675,204/322,283
  6. Step 6: Final answer
    x = 1,482,407.31

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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.