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Finding the Third Proportional to 227,941.31 and 496,018.69

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Solution

The third proportional to 227,941.31 and 496,018.69 is: 1,079,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,941.31 : 496,018.69 = 496,018.69 : x
  2. Step 2: Convert to fraction form
    227,941.31/496,018.69 = 496,018.69/x
  3. Step 3: Cross multiply
    227,941.31x = 496,018.69 × 496,018.69
  4. Step 4: Simplify right side
    227,941.31x = 246,034,538,349.22
  5. Step 5: Solve for x
    x = 246,034,538,349.22/227,941.31
  6. Step 6: Final answer
    x = 1,079,376.69

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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.