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Finding the Third Proportional to 527.81 and 793.41

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Solution

The third proportional to 527.81 and 793.41 is: 1,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.81 : 793.41 = 793.41 : x
  2. Step 2: Convert to fraction form
    527.81/793.41 = 793.41/x
  3. Step 3: Cross multiply
    527.81x = 793.41 × 793.41
  4. Step 4: Simplify right side
    527.81x = 629,493.48
  5. Step 5: Solve for x
    x = 629,493.48/527.81
  6. Step 6: Final answer
    x = 1,192.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.