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Finding the Third Proportional to 280 and 676

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Solution

The third proportional to 280 and 676 is: 1,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280 : 676 = 676 : x
  2. Step 2: Convert to fraction form
    280/676 = 676/x
  3. Step 3: Cross multiply
    280x = 676 × 676
  4. Step 4: Simplify right side
    280x = 456,976
  5. Step 5: Solve for x
    x = 456,976/280
  6. Step 6: Final answer
    x = 1,632.06

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.