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Finding the Third Proportional to 618,204.38 and 933,767.44

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Solution

The third proportional to 618,204.38 and 933,767.44 is: 1,410,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,204.38 : 933,767.44 = 933,767.44 : x
  2. Step 2: Convert to fraction form
    618,204.38/933,767.44 = 933,767.44/x
  3. Step 3: Cross multiply
    618,204.38x = 933,767.44 × 933,767.44
  4. Step 4: Simplify right side
    618,204.38x = 871,921,627,335.32
  5. Step 5: Solve for x
    x = 871,921,627,335.32/618,204.38
  6. Step 6: Final answer
    x = 1,410,409.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.