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Finding the Third Proportional to 227,941.50 and 496,019.25

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Solution

The third proportional to 227,941.50 and 496,019.25 is: 1,079,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,941.50 : 496,019.25 = 496,019.25 : x
  2. Step 2: Convert to fraction form
    227,941.50/496,019.25 = 496,019.25/x
  3. Step 3: Cross multiply
    227,941.50x = 496,019.25 × 496,019.25
  4. Step 4: Simplify right side
    227,941.50x = 246,035,096,370.56
  5. Step 5: Solve for x
    x = 246,035,096,370.56/227,941.50
  6. Step 6: Final answer
    x = 1,079,378.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.