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Finding the Third Proportional to 430,455.94 and 622,257.19

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Solution

The third proportional to 430,455.94 and 622,257.19 is: 899,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,455.94 : 622,257.19 = 622,257.19 : x
  2. Step 2: Convert to fraction form
    430,455.94/622,257.19 = 622,257.19/x
  3. Step 3: Cross multiply
    430,455.94x = 622,257.19 × 622,257.19
  4. Step 4: Simplify right side
    430,455.94x = 387,204,007,395.41
  5. Step 5: Solve for x
    x = 387,204,007,395.41/430,455.94
  6. Step 6: Final answer
    x = 899,520.66

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.