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Finding the Third Proportional to 283,198 and 599,202

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Solution

The third proportional to 283,198 and 599,202 is: 1,267,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,198 : 599,202 = 599,202 : x
  2. Step 2: Convert to fraction form
    283,198/599,202 = 599,202/x
  3. Step 3: Cross multiply
    283,198x = 599,202 × 599,202
  4. Step 4: Simplify right side
    283,198x = 359,043,036,804
  5. Step 5: Solve for x
    x = 359,043,036,804/283,198
  6. Step 6: Final answer
    x = 1,267,816.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.