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Finding the Third Proportional to 322.22 and 655.97

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Solution

The third proportional to 322.22 and 655.97 is: 1,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.22 : 655.97 = 655.97 : x
  2. Step 2: Convert to fraction form
    322.22/655.97 = 655.97/x
  3. Step 3: Cross multiply
    322.22x = 655.97 × 655.97
  4. Step 4: Simplify right side
    322.22x = 430,295.00
  5. Step 5: Solve for x
    x = 430,295.00/322.22
  6. Step 6: Final answer
    x = 1,335.41

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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.