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Finding the Third Proportional to 388,626 and 836,302

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Solution

The third proportional to 388,626 and 836,302 is: 1,799,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,626 : 836,302 = 836,302 : x
  2. Step 2: Convert to fraction form
    388,626/836,302 = 836,302/x
  3. Step 3: Cross multiply
    388,626x = 836,302 × 836,302
  4. Step 4: Simplify right side
    388,626x = 699,401,035,204
  5. Step 5: Solve for x
    x = 699,401,035,204/388,626
  6. Step 6: Final answer
    x = 1,799,676.39

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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.