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Finding the Third Proportional to 388,566 and 836,181

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Solution

The third proportional to 388,566 and 836,181 is: 1,799,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,566 : 836,181 = 836,181 : x
  2. Step 2: Convert to fraction form
    388,566/836,181 = 836,181/x
  3. Step 3: Cross multiply
    388,566x = 836,181 × 836,181
  4. Step 4: Simplify right side
    388,566x = 699,198,664,761
  5. Step 5: Solve for x
    x = 699,198,664,761/388,566
  6. Step 6: Final answer
    x = 1,799,433.47

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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.