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Finding the Third Proportional to 225,893 and 491,134

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Solution

The third proportional to 225,893 and 491,134 is: 1,067,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,893 : 491,134 = 491,134 : x
  2. Step 2: Convert to fraction form
    225,893/491,134 = 491,134/x
  3. Step 3: Cross multiply
    225,893x = 491,134 × 491,134
  4. Step 4: Simplify right side
    225,893x = 241,212,605,956
  5. Step 5: Solve for x
    x = 241,212,605,956/225,893
  6. Step 6: Final answer
    x = 1,067,817.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.