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Finding the Third Proportional to 506.88 and 793.55

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Solution

The third proportional to 506.88 and 793.55 is: 1,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 793.55 = 793.55 : x
  2. Step 2: Convert to fraction form
    506.88/793.55 = 793.55/x
  3. Step 3: Cross multiply
    506.88x = 793.55 × 793.55
  4. Step 4: Simplify right side
    506.88x = 629,716.64
  5. Step 5: Solve for x
    x = 629,716.64/506.88
  6. Step 6: Final answer
    x = 1,242.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.