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Finding the Third Proportional to 378.84 and 831.09

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Solution

The third proportional to 378.84 and 831.09 is: 1,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.84 : 831.09 = 831.09 : x
  2. Step 2: Convert to fraction form
    378.84/831.09 = 831.09/x
  3. Step 3: Cross multiply
    378.84x = 831.09 × 831.09
  4. Step 4: Simplify right side
    378.84x = 690,716.82
  5. Step 5: Solve for x
    x = 690,716.82/378.84
  6. Step 6: Final answer
    x = 1,823.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.