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Finding the Third Proportional to 227,883.75 and 496,770.75

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Solution

The third proportional to 227,883.75 and 496,770.75 is: 1,082,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,883.75 : 496,770.75 = 496,770.75 : x
  2. Step 2: Convert to fraction form
    227,883.75/496,770.75 = 496,770.75/x
  3. Step 3: Cross multiply
    227,883.75x = 496,770.75 × 496,770.75
  4. Step 4: Simplify right side
    227,883.75x = 246,781,178,055.56
  5. Step 5: Solve for x
    x = 246,781,178,055.56/227,883.75
  6. Step 6: Final answer
    x = 1,082,925.74

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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.