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Finding the Third Proportional to 400.31 and 613.31

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Solution

The third proportional to 400.31 and 613.31 is: 939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.31 : 613.31 = 613.31 : x
  2. Step 2: Convert to fraction form
    400.31/613.31 = 613.31/x
  3. Step 3: Cross multiply
    400.31x = 613.31 × 613.31
  4. Step 4: Simplify right side
    400.31x = 376,152.22
  5. Step 5: Solve for x
    x = 376,152.22/400.31
  6. Step 6: Final answer
    x = 939.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.