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Finding the Third Proportional to 322.69 and 694.88

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Solution

The third proportional to 322.69 and 694.88 is: 1,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.69 : 694.88 = 694.88 : x
  2. Step 2: Convert to fraction form
    322.69/694.88 = 694.88/x
  3. Step 3: Cross multiply
    322.69x = 694.88 × 694.88
  4. Step 4: Simplify right side
    322.69x = 482,851.27
  5. Step 5: Solve for x
    x = 482,851.27/322.69
  6. Step 6: Final answer
    x = 1,496.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.