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Finding the Third Proportional to 322,786 and 658,694

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Solution

The third proportional to 322,786 and 658,694 is: 1,344,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,786 : 658,694 = 658,694 : x
  2. Step 2: Convert to fraction form
    322,786/658,694 = 658,694/x
  3. Step 3: Cross multiply
    322,786x = 658,694 × 658,694
  4. Step 4: Simplify right side
    322,786x = 433,877,785,636
  5. Step 5: Solve for x
    x = 433,877,785,636/322,786
  6. Step 6: Final answer
    x = 1,344,165.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.