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Finding the Third Proportional to 411.75 and 723.75

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Solution

The third proportional to 411.75 and 723.75 is: 1,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.75 : 723.75 = 723.75 : x
  2. Step 2: Convert to fraction form
    411.75/723.75 = 723.75/x
  3. Step 3: Cross multiply
    411.75x = 723.75 × 723.75
  4. Step 4: Simplify right side
    411.75x = 523,814.06
  5. Step 5: Solve for x
    x = 523,814.06/411.75
  6. Step 6: Final answer
    x = 1,272.17

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.