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Finding the Third Proportional to 366.54 and 748.05

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Solution

The third proportional to 366.54 and 748.05 is: 1,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.54 : 748.05 = 748.05 : x
  2. Step 2: Convert to fraction form
    366.54/748.05 = 748.05/x
  3. Step 3: Cross multiply
    366.54x = 748.05 × 748.05
  4. Step 4: Simplify right side
    366.54x = 559,585.82
  5. Step 5: Solve for x
    x = 559,585.82/366.54
  6. Step 6: Final answer
    x = 1,526.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.