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Finding the Third Proportional to 354,198 and 764,371.50

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Solution

The third proportional to 354,198 and 764,371.50 is: 1,649,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,198 : 764,371.50 = 764,371.50 : x
  2. Step 2: Convert to fraction form
    354,198/764,371.50 = 764,371.50/x
  3. Step 3: Cross multiply
    354,198x = 764,371.50 × 764,371.50
  4. Step 4: Simplify right side
    354,198x = 584,263,790,012.25
  5. Step 5: Solve for x
    x = 584,263,790,012.25/354,198
  6. Step 6: Final answer
    x = 1,649,540.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.