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Finding the Third Proportional to 271,923 and 583,212

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Solution

The third proportional to 271,923 and 583,212 is: 1,250,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,923 : 583,212 = 583,212 : x
  2. Step 2: Convert to fraction form
    271,923/583,212 = 583,212/x
  3. Step 3: Cross multiply
    271,923x = 583,212 × 583,212
  4. Step 4: Simplify right side
    271,923x = 340,136,236,944
  5. Step 5: Solve for x
    x = 340,136,236,944/271,923
  6. Step 6: Final answer
    x = 1,250,854.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.