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Finding the Third Proportional to 322,282 and 691,228

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Solution

The third proportional to 322,282 and 691,228 is: 1,482,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,282 : 691,228 = 691,228 : x
  2. Step 2: Convert to fraction form
    322,282/691,228 = 691,228/x
  3. Step 3: Cross multiply
    322,282x = 691,228 × 691,228
  4. Step 4: Simplify right side
    322,282x = 477,796,147,984
  5. Step 5: Solve for x
    x = 477,796,147,984/322,282
  6. Step 6: Final answer
    x = 1,482,540.59

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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.