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Finding the Third Proportional to 410,028.75 and 899,754.75

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Solution

The third proportional to 410,028.75 and 899,754.75 is: 1,974,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,028.75 : 899,754.75 = 899,754.75 : x
  2. Step 2: Convert to fraction form
    410,028.75/899,754.75 = 899,754.75/x
  3. Step 3: Cross multiply
    410,028.75x = 899,754.75 × 899,754.75
  4. Step 4: Simplify right side
    410,028.75x = 809,558,610,147.56
  5. Step 5: Solve for x
    x = 809,558,610,147.56/410,028.75
  6. Step 6: Final answer
    x = 1,974,394.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.