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Finding the Third Proportional to 329.06 and 713.44

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Solution

The third proportional to 329.06 and 713.44 is: 1,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.06 : 713.44 = 713.44 : x
  2. Step 2: Convert to fraction form
    329.06/713.44 = 713.44/x
  3. Step 3: Cross multiply
    329.06x = 713.44 × 713.44
  4. Step 4: Simplify right side
    329.06x = 508,993.07
  5. Step 5: Solve for x
    x = 508,993.07/329.06
  6. Step 6: Final answer
    x = 1,546.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.