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Finding the Third Proportional to 725.75 and 1,578.25

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Solution

The third proportional to 725.75 and 1,578.25 is: 3,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.75 : 1,578.25 = 1,578.25 : x
  2. Step 2: Convert to fraction form
    725.75/1,578.25 = 1,578.25/x
  3. Step 3: Cross multiply
    725.75x = 1,578.25 × 1,578.25
  4. Step 4: Simplify right side
    725.75x = 2,490,873.06
  5. Step 5: Solve for x
    x = 2,490,873.06/725.75
  6. Step 6: Final answer
    x = 3,432.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.