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Finding the Third Proportional to 280.83 and 481.22

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Solution

The third proportional to 280.83 and 481.22 is: 824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.83 : 481.22 = 481.22 : x
  2. Step 2: Convert to fraction form
    280.83/481.22 = 481.22/x
  3. Step 3: Cross multiply
    280.83x = 481.22 × 481.22
  4. Step 4: Simplify right side
    280.83x = 231,571.49
  5. Step 5: Solve for x
    x = 231,571.49/280.83
  6. Step 6: Final answer
    x = 824.60

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.