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Finding the Third Proportional to 394,249 and 599,165

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Solution

The third proportional to 394,249 and 599,165 is: 910,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,249 : 599,165 = 599,165 : x
  2. Step 2: Convert to fraction form
    394,249/599,165 = 599,165/x
  3. Step 3: Cross multiply
    394,249x = 599,165 × 599,165
  4. Step 4: Simplify right side
    394,249x = 358,998,697,225
  5. Step 5: Solve for x
    x = 358,998,697,225/394,249
  6. Step 6: Final answer
    x = 910,588.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.