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Finding the Third Proportional to 308.81 and 747.56

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Solution

The third proportional to 308.81 and 747.56 is: 1,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.81 : 747.56 = 747.56 : x
  2. Step 2: Convert to fraction form
    308.81/747.56 = 747.56/x
  3. Step 3: Cross multiply
    308.81x = 747.56 × 747.56
  4. Step 4: Simplify right side
    308.81x = 558,849.69
  5. Step 5: Solve for x
    x = 558,849.69/308.81
  6. Step 6: Final answer
    x = 1,809.67

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.