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Finding the Third Proportional to 441.75 and 581.13

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Solution

The third proportional to 441.75 and 581.13 is: 764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.75 : 581.13 = 581.13 : x
  2. Step 2: Convert to fraction form
    441.75/581.13 = 581.13/x
  3. Step 3: Cross multiply
    441.75x = 581.13 × 581.13
  4. Step 4: Simplify right side
    441.75x = 337,706.27
  5. Step 5: Solve for x
    x = 337,706.27/441.75
  6. Step 6: Final answer
    x = 764.47

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.