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Finding the Third Proportional to 523.97 and 831.52

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Solution

The third proportional to 523.97 and 831.52 is: 1,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.97 : 831.52 = 831.52 : x
  2. Step 2: Convert to fraction form
    523.97/831.52 = 831.52/x
  3. Step 3: Cross multiply
    523.97x = 831.52 × 831.52
  4. Step 4: Simplify right side
    523.97x = 691,418.23
  5. Step 5: Solve for x
    x = 691,418.23/523.97
  6. Step 6: Final answer
    x = 1,319.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.