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Finding the Third Proportional to 527.06 and 792.38

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Solution

The third proportional to 527.06 and 792.38 is: 1,191.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.06 : 792.38 = 792.38 : x
  2. Step 2: Convert to fraction form
    527.06/792.38 = 792.38/x
  3. Step 3: Cross multiply
    527.06x = 792.38 × 792.38
  4. Step 4: Simplify right side
    527.06x = 627,858.14
  5. Step 5: Solve for x
    x = 627,858.14/527.06
  6. Step 6: Final answer
    x = 1,191.24

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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.