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Finding the Third Proportional to 270,474 and 577,134

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Solution

The third proportional to 270,474 and 577,134 is: 1,231,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,474 : 577,134 = 577,134 : x
  2. Step 2: Convert to fraction form
    270,474/577,134 = 577,134/x
  3. Step 3: Cross multiply
    270,474x = 577,134 × 577,134
  4. Step 4: Simplify right side
    270,474x = 333,083,653,956
  5. Step 5: Solve for x
    x = 333,083,653,956/270,474
  6. Step 6: Final answer
    x = 1,231,481.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.