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Finding the Third Proportional to 394,786 and 804,228

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Solution

The third proportional to 394,786 and 804,228 is: 1,638,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,786 : 804,228 = 804,228 : x
  2. Step 2: Convert to fraction form
    394,786/804,228 = 804,228/x
  3. Step 3: Cross multiply
    394,786x = 804,228 × 804,228
  4. Step 4: Simplify right side
    394,786x = 646,782,675,984
  5. Step 5: Solve for x
    x = 646,782,675,984/394,786
  6. Step 6: Final answer
    x = 1,638,312.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.