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Finding the Third Proportional to 628.75 and 1,275.25

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Solution

The third proportional to 628.75 and 1,275.25 is: 2,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.75 : 1,275.25 = 1,275.25 : x
  2. Step 2: Convert to fraction form
    628.75/1,275.25 = 1,275.25/x
  3. Step 3: Cross multiply
    628.75x = 1,275.25 × 1,275.25
  4. Step 4: Simplify right side
    628.75x = 1,626,262.56
  5. Step 5: Solve for x
    x = 1,626,262.56/628.75
  6. Step 6: Final answer
    x = 2,586.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.