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Finding the Third Proportional to 416,739 and 622,361.50

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Solution

The third proportional to 416,739 and 622,361.50 is: 929,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,739 : 622,361.50 = 622,361.50 : x
  2. Step 2: Convert to fraction form
    416,739/622,361.50 = 622,361.50/x
  3. Step 3: Cross multiply
    416,739x = 622,361.50 × 622,361.50
  4. Step 4: Simplify right side
    416,739x = 387,333,836,682.25
  5. Step 5: Solve for x
    x = 387,333,836,682.25/416,739
  6. Step 6: Final answer
    x = 929,439.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.