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Finding the Third Proportional to 400 and 793

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Solution

The third proportional to 400 and 793 is: 1,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    400 : 793 = 793 : x
  2. Step 2: Convert to fraction form
    400/793 = 793/x
  3. Step 3: Cross multiply
    400x = 793 × 793
  4. Step 4: Simplify right side
    400x = 628,849
  5. Step 5: Solve for x
    x = 628,849/400
  6. Step 6: Final answer
    x = 1,572.12

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.