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Finding the Third Proportional to 1,019.25 and 1,524.66

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Solution

The third proportional to 1,019.25 and 1,524.66 is: 2,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.25 : 1,524.66 = 1,524.66 : x
  2. Step 2: Convert to fraction form
    1,019.25/1,524.66 = 1,524.66/x
  3. Step 3: Cross multiply
    1,019.25x = 1,524.66 × 1,524.66
  4. Step 4: Simplify right side
    1,019.25x = 2,324,576.68
  5. Step 5: Solve for x
    x = 2,324,576.68/1,019.25
  6. Step 6: Final answer
    x = 2,280.67

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Why These Related Problems?

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