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Finding the Third Proportional to 408.38 and 620.63

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Solution

The third proportional to 408.38 and 620.63 is: 943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.38 : 620.63 = 620.63 : x
  2. Step 2: Convert to fraction form
    408.38/620.63 = 620.63/x
  3. Step 3: Cross multiply
    408.38x = 620.63 × 620.63
  4. Step 4: Simplify right side
    408.38x = 385,175.39
  5. Step 5: Solve for x
    x = 385,175.39/408.38
  6. Step 6: Final answer
    x = 943.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.