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Finding the Third Proportional to 283,196 and 599,198

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Solution

The third proportional to 283,196 and 599,198 is: 1,267,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,196 : 599,198 = 599,198 : x
  2. Step 2: Convert to fraction form
    283,196/599,198 = 599,198/x
  3. Step 3: Cross multiply
    283,196x = 599,198 × 599,198
  4. Step 4: Simplify right side
    283,196x = 359,038,243,204
  5. Step 5: Solve for x
    x = 359,038,243,204/283,196
  6. Step 6: Final answer
    x = 1,267,808.31

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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.