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Finding the Third Proportional to 675.75 and 1,328.50

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Solution

The third proportional to 675.75 and 1,328.50 is: 2,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.75 : 1,328.50 = 1,328.50 : x
  2. Step 2: Convert to fraction form
    675.75/1,328.50 = 1,328.50/x
  3. Step 3: Cross multiply
    675.75x = 1,328.50 × 1,328.50
  4. Step 4: Simplify right side
    675.75x = 1,764,912.25
  5. Step 5: Solve for x
    x = 1,764,912.25/675.75
  6. Step 6: Final answer
    x = 2,611.78

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.