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Finding the Third Proportional to 677.74 and 793.55

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Solution

The third proportional to 677.74 and 793.55 is: 929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.74 : 793.55 = 793.55 : x
  2. Step 2: Convert to fraction form
    677.74/793.55 = 793.55/x
  3. Step 3: Cross multiply
    677.74x = 793.55 × 793.55
  4. Step 4: Simplify right side
    677.74x = 629,716.64
  5. Step 5: Solve for x
    x = 629,716.64/677.74
  6. Step 6: Final answer
    x = 929.14

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.