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Finding the Third Proportional to 523.25 and 763.75

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Solution

The third proportional to 523.25 and 763.75 is: 1,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.25 : 763.75 = 763.75 : x
  2. Step 2: Convert to fraction form
    523.25/763.75 = 763.75/x
  3. Step 3: Cross multiply
    523.25x = 763.75 × 763.75
  4. Step 4: Simplify right side
    523.25x = 583,314.06
  5. Step 5: Solve for x
    x = 583,314.06/523.25
  6. Step 6: Final answer
    x = 1,114.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.