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Finding the Third Proportional to 326.67 and 704.64

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Solution

The third proportional to 326.67 and 704.64 is: 1,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.67 : 704.64 = 704.64 : x
  2. Step 2: Convert to fraction form
    326.67/704.64 = 704.64/x
  3. Step 3: Cross multiply
    326.67x = 704.64 × 704.64
  4. Step 4: Simplify right side
    326.67x = 496,512.91
  5. Step 5: Solve for x
    x = 496,512.91/326.67
  6. Step 6: Final answer
    x = 1,519.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.