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Finding the Third Proportional to 305,183.75 and 449,343.75

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Solution

The third proportional to 305,183.75 and 449,343.75 is: 661,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,183.75 : 449,343.75 = 449,343.75 : x
  2. Step 2: Convert to fraction form
    305,183.75/449,343.75 = 449,343.75/x
  3. Step 3: Cross multiply
    305,183.75x = 449,343.75 × 449,343.75
  4. Step 4: Simplify right side
    305,183.75x = 201,909,805,664.06
  5. Step 5: Solve for x
    x = 201,909,805,664.06/305,183.75
  6. Step 6: Final answer
    x = 661,600.78

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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.