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Finding the Third Proportional to 441.75 and 649.78

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Solution

The third proportional to 441.75 and 649.78 is: 955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.75 : 649.78 = 649.78 : x
  2. Step 2: Convert to fraction form
    441.75/649.78 = 649.78/x
  3. Step 3: Cross multiply
    441.75x = 649.78 × 649.78
  4. Step 4: Simplify right side
    441.75x = 422,215.67
  5. Step 5: Solve for x
    x = 422,215.67/441.75
  6. Step 6: Final answer
    x = 955.78

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