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Finding the Third Proportional to 591 and 831.75

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Solution

The third proportional to 591 and 831.75 is: 1,170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    591 : 831.75 = 831.75 : x
  2. Step 2: Convert to fraction form
    591/831.75 = 831.75/x
  3. Step 3: Cross multiply
    591x = 831.75 × 831.75
  4. Step 4: Simplify right side
    591x = 691,808.06
  5. Step 5: Solve for x
    x = 691,808.06/591
  6. Step 6: Final answer
    x = 1,170.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.