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Finding the Third Proportional to 326.06 and 754.22

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Solution

The third proportional to 326.06 and 754.22 is: 1,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.06 : 754.22 = 754.22 : x
  2. Step 2: Convert to fraction form
    326.06/754.22 = 754.22/x
  3. Step 3: Cross multiply
    326.06x = 754.22 × 754.22
  4. Step 4: Simplify right side
    326.06x = 568,845.92
  5. Step 5: Solve for x
    x = 568,845.92/326.06
  6. Step 6: Final answer
    x = 1,744.59

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.