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Finding the Third Proportional to 441.38 and 649.31

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Solution

The third proportional to 441.38 and 649.31 is: 955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.38 : 649.31 = 649.31 : x
  2. Step 2: Convert to fraction form
    441.38/649.31 = 649.31/x
  3. Step 3: Cross multiply
    441.38x = 649.31 × 649.31
  4. Step 4: Simplify right side
    441.38x = 421,606.72
  5. Step 5: Solve for x
    x = 421,606.72/441.38
  6. Step 6: Final answer
    x = 955.21

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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.