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Finding the Third Proportional to 361,270.13 and 854,372.81

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Solution

The third proportional to 361,270.13 and 854,372.81 is: 2,020,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,270.13 : 854,372.81 = 854,372.81 : x
  2. Step 2: Convert to fraction form
    361,270.13/854,372.81 = 854,372.81/x
  3. Step 3: Cross multiply
    361,270.13x = 854,372.81 × 854,372.81
  4. Step 4: Simplify right side
    361,270.13x = 729,952,902,739.16
  5. Step 5: Solve for x
    x = 729,952,902,739.16/361,270.13
  6. Step 6: Final answer
    x = 2,020,518.31

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.