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Finding the Third Proportional to 361,158.75 and 854,104.50

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Solution

The third proportional to 361,158.75 and 854,104.50 is: 2,019,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,158.75 : 854,104.50 = 854,104.50 : x
  2. Step 2: Convert to fraction form
    361,158.75/854,104.50 = 854,104.50/x
  3. Step 3: Cross multiply
    361,158.75x = 854,104.50 × 854,104.50
  4. Step 4: Simplify right side
    361,158.75x = 729,494,496,920.25
  5. Step 5: Solve for x
    x = 729,494,496,920.25/361,158.75
  6. Step 6: Final answer
    x = 2,019,872.14

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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.