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Finding the Third Proportional to 631.75 and 721.75

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Solution

The third proportional to 631.75 and 721.75 is: 824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.75 : 721.75 = 721.75 : x
  2. Step 2: Convert to fraction form
    631.75/721.75 = 721.75/x
  3. Step 3: Cross multiply
    631.75x = 721.75 × 721.75
  4. Step 4: Simplify right side
    631.75x = 520,923.06
  5. Step 5: Solve for x
    x = 520,923.06/631.75
  6. Step 6: Final answer
    x = 824.57

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.