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Finding the Third Proportional to 388,568 and 836,185

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Solution

The third proportional to 388,568 and 836,185 is: 1,799,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,568 : 836,185 = 836,185 : x
  2. Step 2: Convert to fraction form
    388,568/836,185 = 836,185/x
  3. Step 3: Cross multiply
    388,568x = 836,185 × 836,185
  4. Step 4: Simplify right side
    388,568x = 699,205,354,225
  5. Step 5: Solve for x
    x = 699,205,354,225/388,568
  6. Step 6: Final answer
    x = 1,799,441.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.