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Finding the Third Proportional to 329.44 and 652.97

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Solution

The third proportional to 329.44 and 652.97 is: 1,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.44 : 652.97 = 652.97 : x
  2. Step 2: Convert to fraction form
    329.44/652.97 = 652.97/x
  3. Step 3: Cross multiply
    329.44x = 652.97 × 652.97
  4. Step 4: Simplify right side
    329.44x = 426,368.19
  5. Step 5: Solve for x
    x = 426,368.19/329.44
  6. Step 6: Final answer
    x = 1,294.23

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.