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Finding the Third Proportional to 680.25 and 1,020.38

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Solution

The third proportional to 680.25 and 1,020.38 is: 1,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.25 : 1,020.38 = 1,020.38 : x
  2. Step 2: Convert to fraction form
    680.25/1,020.38 = 1,020.38/x
  3. Step 3: Cross multiply
    680.25x = 1,020.38 × 1,020.38
  4. Step 4: Simplify right side
    680.25x = 1,041,165.14
  5. Step 5: Solve for x
    x = 1,041,165.14/680.25
  6. Step 6: Final answer
    x = 1,530.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.