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Finding the Third Proportional to 361,179 and 854,138.25

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Solution

The third proportional to 361,179 and 854,138.25 is: 2,019,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,179 : 854,138.25 = 854,138.25 : x
  2. Step 2: Convert to fraction form
    361,179/854,138.25 = 854,138.25/x
  3. Step 3: Cross multiply
    361,179x = 854,138.25 × 854,138.25
  4. Step 4: Simplify right side
    361,179x = 729,552,150,113.06
  5. Step 5: Solve for x
    x = 729,552,150,113.06/361,179
  6. Step 6: Final answer
    x = 2,019,918.52

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Why These Related Problems?

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