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Finding the Third Proportional to 326.16 and 679.27

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Solution

The third proportional to 326.16 and 679.27 is: 1,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.16 : 679.27 = 679.27 : x
  2. Step 2: Convert to fraction form
    326.16/679.27 = 679.27/x
  3. Step 3: Cross multiply
    326.16x = 679.27 × 679.27
  4. Step 4: Simplify right side
    326.16x = 461,401.79
  5. Step 5: Solve for x
    x = 461,401.79/326.16
  6. Step 6: Final answer
    x = 1,414.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.