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Finding the Third Proportional to 270,698 and 378,441

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Solution

The third proportional to 270,698 and 378,441 is: 529,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,698 : 378,441 = 378,441 : x
  2. Step 2: Convert to fraction form
    270,698/378,441 = 378,441/x
  3. Step 3: Cross multiply
    270,698x = 378,441 × 378,441
  4. Step 4: Simplify right side
    270,698x = 143,217,590,481
  5. Step 5: Solve for x
    x = 143,217,590,481/270,698
  6. Step 6: Final answer
    x = 529,067.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.