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Finding the Third Proportional to 380,589 and 836,508

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Solution

The third proportional to 380,589 and 836,508 is: 1,838,586.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,589 : 836,508 = 836,508 : x
  2. Step 2: Convert to fraction form
    380,589/836,508 = 836,508/x
  3. Step 3: Cross multiply
    380,589x = 836,508 × 836,508
  4. Step 4: Simplify right side
    380,589x = 699,745,634,064
  5. Step 5: Solve for x
    x = 699,745,634,064/380,589
  6. Step 6: Final answer
    x = 1,838,586.07

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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.