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Finding the Third Proportional to 305,856 and 449,858.81

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Solution

The third proportional to 305,856 and 449,858.81 is: 661,660.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,856 : 449,858.81 = 449,858.81 : x
  2. Step 2: Convert to fraction form
    305,856/449,858.81 = 449,858.81/x
  3. Step 3: Cross multiply
    305,856x = 449,858.81 × 449,858.81
  4. Step 4: Simplify right side
    305,856x = 202,372,951,183.91
  5. Step 5: Solve for x
    x = 202,372,951,183.91/305,856
  6. Step 6: Final answer
    x = 661,660.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.