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Finding the Third Proportional to 378,841 and 588,183

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Solution

The third proportional to 378,841 and 588,183 is: 913,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,841 : 588,183 = 588,183 : x
  2. Step 2: Convert to fraction form
    378,841/588,183 = 588,183/x
  3. Step 3: Cross multiply
    378,841x = 588,183 × 588,183
  4. Step 4: Simplify right side
    378,841x = 345,959,241,489
  5. Step 5: Solve for x
    x = 345,959,241,489/378,841
  6. Step 6: Final answer
    x = 913,204.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.