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Finding the Third Proportional to 326.44 and 754.97

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Solution

The third proportional to 326.44 and 754.97 is: 1,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.44 : 754.97 = 754.97 : x
  2. Step 2: Convert to fraction form
    326.44/754.97 = 754.97/x
  3. Step 3: Cross multiply
    326.44x = 754.97 × 754.97
  4. Step 4: Simplify right side
    326.44x = 569,977.81
  5. Step 5: Solve for x
    x = 569,977.81/326.44
  6. Step 6: Final answer
    x = 1,746.05

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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.