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Finding the Third Proportional to 680.75 and 1,426.75

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Solution

The third proportional to 680.75 and 1,426.75 is: 2,990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.75 : 1,426.75 = 1,426.75 : x
  2. Step 2: Convert to fraction form
    680.75/1,426.75 = 1,426.75/x
  3. Step 3: Cross multiply
    680.75x = 1,426.75 × 1,426.75
  4. Step 4: Simplify right side
    680.75x = 2,035,615.56
  5. Step 5: Solve for x
    x = 2,035,615.56/680.75
  6. Step 6: Final answer
    x = 2,990.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.