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Finding the Third Proportional to 326.95 and 704.95

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Solution

The third proportional to 326.95 and 704.95 is: 1,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.95 : 704.95 = 704.95 : x
  2. Step 2: Convert to fraction form
    326.95/704.95 = 704.95/x
  3. Step 3: Cross multiply
    326.95x = 704.95 × 704.95
  4. Step 4: Simplify right side
    326.95x = 496,958.91
  5. Step 5: Solve for x
    x = 496,958.91/326.95
  6. Step 6: Final answer
    x = 1,519.97

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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.