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Finding the Third Proportional to 394,767 and 599,535

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Solution

The third proportional to 394,767 and 599,535 is: 910,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,767 : 599,535 = 599,535 : x
  2. Step 2: Convert to fraction form
    394,767/599,535 = 599,535/x
  3. Step 3: Cross multiply
    394,767x = 599,535 × 599,535
  4. Step 4: Simplify right side
    394,767x = 359,442,216,225
  5. Step 5: Solve for x
    x = 359,442,216,225/394,767
  6. Step 6: Final answer
    x = 910,517.38

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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.