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Finding the Third Proportional to 394,080 and 854,016

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Solution

The third proportional to 394,080 and 854,016 is: 1,850,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,080 : 854,016 = 854,016 : x
  2. Step 2: Convert to fraction form
    394,080/854,016 = 854,016/x
  3. Step 3: Cross multiply
    394,080x = 854,016 × 854,016
  4. Step 4: Simplify right side
    394,080x = 729,343,328,256
  5. Step 5: Solve for x
    x = 729,343,328,256/394,080
  6. Step 6: Final answer
    x = 1,850,749.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.