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Finding the Third Proportional to 394,088 and 854,032

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Solution

The third proportional to 394,088 and 854,032 is: 1,850,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,088 : 854,032 = 854,032 : x
  2. Step 2: Convert to fraction form
    394,088/854,032 = 854,032/x
  3. Step 3: Cross multiply
    394,088x = 854,032 × 854,032
  4. Step 4: Simplify right side
    394,088x = 729,370,657,024
  5. Step 5: Solve for x
    x = 729,370,657,024/394,088
  6. Step 6: Final answer
    x = 1,850,781.19

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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.