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Finding the Third Proportional to 416,175.75 and 624,318.75

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Solution

The third proportional to 416,175.75 and 624,318.75 is: 936,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,175.75 : 624,318.75 = 624,318.75 : x
  2. Step 2: Convert to fraction form
    416,175.75/624,318.75 = 624,318.75/x
  3. Step 3: Cross multiply
    416,175.75x = 624,318.75 × 624,318.75
  4. Step 4: Simplify right side
    416,175.75x = 389,773,901,601.56
  5. Step 5: Solve for x
    x = 389,773,901,601.56/416,175.75
  6. Step 6: Final answer
    x = 936,560.82

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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.