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Finding the Third Proportional to 329.20 and 710.30

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Solution

The third proportional to 329.20 and 710.30 is: 1,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.20 : 710.30 = 710.30 : x
  2. Step 2: Convert to fraction form
    329.20/710.30 = 710.30/x
  3. Step 3: Cross multiply
    329.20x = 710.30 × 710.30
  4. Step 4: Simplify right side
    329.20x = 504,521.65
  5. Step 5: Solve for x
    x = 504,521.65/329.20
  6. Step 6: Final answer
    x = 1,532.55

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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.