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Finding the Third Proportional to 291,183.19 and 622,847.81

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Solution

The third proportional to 291,183.19 and 622,847.81 is: 1,332,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,183.19 : 622,847.81 = 622,847.81 : x
  2. Step 2: Convert to fraction form
    291,183.19/622,847.81 = 622,847.81/x
  3. Step 3: Cross multiply
    291,183.19x = 622,847.81 × 622,847.81
  4. Step 4: Simplify right side
    291,183.19x = 387,939,397,536.04
  5. Step 5: Solve for x
    x = 387,939,397,536.04/291,183.19
  6. Step 6: Final answer
    x = 1,332,286.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.