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Finding the Third Proportional to 416,245.50 and 622,692.75

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Solution

The third proportional to 416,245.50 and 622,692.75 is: 931,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,245.50 : 622,692.75 = 622,692.75 : x
  2. Step 2: Convert to fraction form
    416,245.50/622,692.75 = 622,692.75/x
  3. Step 3: Cross multiply
    416,245.50x = 622,692.75 × 622,692.75
  4. Step 4: Simplify right side
    416,245.50x = 387,746,260,902.56
  5. Step 5: Solve for x
    x = 387,746,260,902.56/416,245.50
  6. Step 6: Final answer
    x = 931,532.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.