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Finding the Third Proportional to 680.59 and 1,490.80

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Solution

The third proportional to 680.59 and 1,490.80 is: 3,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.59 : 1,490.80 = 1,490.80 : x
  2. Step 2: Convert to fraction form
    680.59/1,490.80 = 1,490.80/x
  3. Step 3: Cross multiply
    680.59x = 1,490.80 × 1,490.80
  4. Step 4: Simplify right side
    680.59x = 2,222,486.97
  5. Step 5: Solve for x
    x = 2,222,486.97/680.59
  6. Step 6: Final answer
    x = 3,265.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.