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Finding the Third Proportional to 419,883.75 and 910,635.75

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Solution

The third proportional to 419,883.75 and 910,635.75 is: 1,974,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,883.75 : 910,635.75 = 910,635.75 : x
  2. Step 2: Convert to fraction form
    419,883.75/910,635.75 = 910,635.75/x
  3. Step 3: Cross multiply
    419,883.75x = 910,635.75 × 910,635.75
  4. Step 4: Simplify right side
    419,883.75x = 829,257,469,178.06
  5. Step 5: Solve for x
    x = 829,257,469,178.06/419,883.75
  6. Step 6: Final answer
    x = 1,974,969.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.