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Finding the Third Proportional to 228,745.50 and 504,027

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Solution

The third proportional to 228,745.50 and 504,027 is: 1,110,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,745.50 : 504,027 = 504,027 : x
  2. Step 2: Convert to fraction form
    228,745.50/504,027 = 504,027/x
  3. Step 3: Cross multiply
    228,745.50x = 504,027 × 504,027
  4. Step 4: Simplify right side
    228,745.50x = 254,043,216,729
  5. Step 5: Solve for x
    x = 254,043,216,729/228,745.50
  6. Step 6: Final answer
    x = 1,110,593.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.