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Finding the Third Proportional to 381,745 and 862,466.50

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Solution

The third proportional to 381,745 and 862,466.50 is: 1,948,548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,745 : 862,466.50 = 862,466.50 : x
  2. Step 2: Convert to fraction form
    381,745/862,466.50 = 862,466.50/x
  3. Step 3: Cross multiply
    381,745x = 862,466.50 × 862,466.50
  4. Step 4: Simplify right side
    381,745x = 743,848,463,622.25
  5. Step 5: Solve for x
    x = 743,848,463,622.25/381,745
  6. Step 6: Final answer
    x = 1,948,548.02

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.