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Finding the Third Proportional to 441.84 and 660.23

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Solution

The third proportional to 441.84 and 660.23 is: 986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.84 : 660.23 = 660.23 : x
  2. Step 2: Convert to fraction form
    441.84/660.23 = 660.23/x
  3. Step 3: Cross multiply
    441.84x = 660.23 × 660.23
  4. Step 4: Simplify right side
    441.84x = 435,909.43
  5. Step 5: Solve for x
    x = 435,909.43/441.84
  6. Step 6: Final answer
    x = 986.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.