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Finding the Third Proportional to 523.69 and 831.94

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Solution

The third proportional to 523.69 and 831.94 is: 1,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 831.94 = 831.94 : x
  2. Step 2: Convert to fraction form
    523.69/831.94 = 831.94/x
  3. Step 3: Cross multiply
    523.69x = 831.94 × 831.94
  4. Step 4: Simplify right side
    523.69x = 692,120.00
  5. Step 5: Solve for x
    x = 692,120.00/523.69
  6. Step 6: Final answer
    x = 1,321.63

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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.