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Finding the Third Proportional to 280.69 and 528.19

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Solution

The third proportional to 280.69 and 528.19 is: 993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.69 : 528.19 = 528.19 : x
  2. Step 2: Convert to fraction form
    280.69/528.19 = 528.19/x
  3. Step 3: Cross multiply
    280.69x = 528.19 × 528.19
  4. Step 4: Simplify right side
    280.69x = 278,982.04
  5. Step 5: Solve for x
    x = 278,982.04/280.69
  6. Step 6: Final answer
    x = 993.92

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.