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Finding the Third Proportional to 350,362.13 and 764,037.56

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Solution

The third proportional to 350,362.13 and 764,037.56 is: 1,666,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,362.13 : 764,037.56 = 764,037.56 : x
  2. Step 2: Convert to fraction form
    350,362.13/764,037.56 = 764,037.56/x
  3. Step 3: Cross multiply
    350,362.13x = 764,037.56 × 764,037.56
  4. Step 4: Simplify right side
    350,362.13x = 583,753,396,910.94
  5. Step 5: Solve for x
    x = 583,753,396,910.94/350,362.13
  6. Step 6: Final answer
    x = 1,666,142.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.