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Finding the Third Proportional to 724.25 and 1,519.75

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Solution

The third proportional to 724.25 and 1,519.75 is: 3,189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.25 : 1,519.75 = 1,519.75 : x
  2. Step 2: Convert to fraction form
    724.25/1,519.75 = 1,519.75/x
  3. Step 3: Cross multiply
    724.25x = 1,519.75 × 1,519.75
  4. Step 4: Simplify right side
    724.25x = 2,309,640.06
  5. Step 5: Solve for x
    x = 2,309,640.06/724.25
  6. Step 6: Final answer
    x = 3,189.01

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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.