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Finding the Third Proportional to 325,183.50 and 462,181.50

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Solution

The third proportional to 325,183.50 and 462,181.50 is: 656,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,183.50 : 462,181.50 = 462,181.50 : x
  2. Step 2: Convert to fraction form
    325,183.50/462,181.50 = 462,181.50/x
  3. Step 3: Cross multiply
    325,183.50x = 462,181.50 × 462,181.50
  4. Step 4: Simplify right side
    325,183.50x = 213,611,738,942.25
  5. Step 5: Solve for x
    x = 213,611,738,942.25/325,183.50
  6. Step 6: Final answer
    x = 656,896.00

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.