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Finding the Third Proportional to 724.13 and 1,025.25

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Solution

The third proportional to 724.13 and 1,025.25 is: 1,451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.13 : 1,025.25 = 1,025.25 : x
  2. Step 2: Convert to fraction form
    724.13/1,025.25 = 1,025.25/x
  3. Step 3: Cross multiply
    724.13x = 1,025.25 × 1,025.25
  4. Step 4: Simplify right side
    724.13x = 1,051,137.56
  5. Step 5: Solve for x
    x = 1,051,137.56/724.13
  6. Step 6: Final answer
    x = 1,451.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.