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Finding the Third Proportional to 380,567 and 836,467

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Solution

The third proportional to 380,567 and 836,467 is: 1,838,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,567 : 836,467 = 836,467 : x
  2. Step 2: Convert to fraction form
    380,567/836,467 = 836,467/x
  3. Step 3: Cross multiply
    380,567x = 836,467 × 836,467
  4. Step 4: Simplify right side
    380,567x = 699,677,042,089
  5. Step 5: Solve for x
    x = 699,677,042,089/380,567
  6. Step 6: Final answer
    x = 1,838,512.12

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Why These Related Problems?

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