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Finding the Third Proportional to 280.69 and 494.44

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Solution

The third proportional to 280.69 and 494.44 is: 870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.69 : 494.44 = 494.44 : x
  2. Step 2: Convert to fraction form
    280.69/494.44 = 494.44/x
  3. Step 3: Cross multiply
    280.69x = 494.44 × 494.44
  4. Step 4: Simplify right side
    280.69x = 244,468.44
  5. Step 5: Solve for x
    x = 244,468.44/280.69
  6. Step 6: Final answer
    x = 870.96

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.