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Finding the Third Proportional to 230,601.75 and 505,626.75

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Solution

The third proportional to 230,601.75 and 505,626.75 is: 1,108,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,601.75 : 505,626.75 = 505,626.75 : x
  2. Step 2: Convert to fraction form
    230,601.75/505,626.75 = 505,626.75/x
  3. Step 3: Cross multiply
    230,601.75x = 505,626.75 × 505,626.75
  4. Step 4: Simplify right side
    230,601.75x = 255,658,410,315.56
  5. Step 5: Solve for x
    x = 255,658,410,315.56/230,601.75
  6. Step 6: Final answer
    x = 1,108,657.72

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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.