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Finding the Third Proportional to 394,852 and 595,832

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Solution

The third proportional to 394,852 and 595,832 is: 899,110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,852 : 595,832 = 595,832 : x
  2. Step 2: Convert to fraction form
    394,852/595,832 = 595,832/x
  3. Step 3: Cross multiply
    394,852x = 595,832 × 595,832
  4. Step 4: Simplify right side
    394,852x = 355,015,772,224
  5. Step 5: Solve for x
    x = 355,015,772,224/394,852
  6. Step 6: Final answer
    x = 899,110.99

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Why These Related Problems?

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