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Finding the Third Proportional to 326.75 and 771.88

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Solution

The third proportional to 326.75 and 771.88 is: 1,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.75 : 771.88 = 771.88 : x
  2. Step 2: Convert to fraction form
    326.75/771.88 = 771.88/x
  3. Step 3: Cross multiply
    326.75x = 771.88 × 771.88
  4. Step 4: Simplify right side
    326.75x = 595,791.02
  5. Step 5: Solve for x
    x = 595,791.02/326.75
  6. Step 6: Final answer
    x = 1,823.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.