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Finding the Third Proportional to 300.80 and 441.70

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Solution

The third proportional to 300.80 and 441.70 is: 648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.80 : 441.70 = 441.70 : x
  2. Step 2: Convert to fraction form
    300.80/441.70 = 441.70/x
  3. Step 3: Cross multiply
    300.80x = 441.70 × 441.70
  4. Step 4: Simplify right side
    300.80x = 195,101.65
  5. Step 5: Solve for x
    x = 195,101.65/300.80
  6. Step 6: Final answer
    x = 648.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.