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Finding the Third Proportional to 231,027.75 and 505,608.75

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Solution

The third proportional to 231,027.75 and 505,608.75 is: 1,106,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,027.75 : 505,608.75 = 505,608.75 : x
  2. Step 2: Convert to fraction form
    231,027.75/505,608.75 = 505,608.75/x
  3. Step 3: Cross multiply
    231,027.75x = 505,608.75 × 505,608.75
  4. Step 4: Simplify right side
    231,027.75x = 255,640,208,076.56
  5. Step 5: Solve for x
    x = 255,640,208,076.56/231,027.75
  6. Step 6: Final answer
    x = 1,106,534.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.