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Finding the Third Proportional to 378.74 and 831.75

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Solution

The third proportional to 378.74 and 831.75 is: 1,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.74 : 831.75 = 831.75 : x
  2. Step 2: Convert to fraction form
    378.74/831.75 = 831.75/x
  3. Step 3: Cross multiply
    378.74x = 831.75 × 831.75
  4. Step 4: Simplify right side
    378.74x = 691,812.94
  5. Step 5: Solve for x
    x = 691,812.94/378.74
  6. Step 6: Final answer
    x = 1,826.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.