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Finding the Third Proportional to 420,427.50 and 987,019.50

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Solution

The third proportional to 420,427.50 and 987,019.50 is: 2,317,183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,427.50 : 987,019.50 = 987,019.50 : x
  2. Step 2: Convert to fraction form
    420,427.50/987,019.50 = 987,019.50/x
  3. Step 3: Cross multiply
    420,427.50x = 987,019.50 × 987,019.50
  4. Step 4: Simplify right side
    420,427.50x = 974,207,493,380.25
  5. Step 5: Solve for x
    x = 974,207,493,380.25/420,427.50
  6. Step 6: Final answer
    x = 2,317,183.09

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.