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Finding the Third Proportional to 322,722 and 701,414

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Solution

The third proportional to 322,722 and 701,414 is: 1,524,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,722 : 701,414 = 701,414 : x
  2. Step 2: Convert to fraction form
    322,722/701,414 = 701,414/x
  3. Step 3: Cross multiply
    322,722x = 701,414 × 701,414
  4. Step 4: Simplify right side
    322,722x = 491,981,599,396
  5. Step 5: Solve for x
    x = 491,981,599,396/322,722
  6. Step 6: Final answer
    x = 1,524,474.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.