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Finding the Third Proportional to 271,931 and 583,227

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Solution

The third proportional to 271,931 and 583,227 is: 1,250,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,931 : 583,227 = 583,227 : x
  2. Step 2: Convert to fraction form
    271,931/583,227 = 583,227/x
  3. Step 3: Cross multiply
    271,931x = 583,227 × 583,227
  4. Step 4: Simplify right side
    271,931x = 340,153,733,529
  5. Step 5: Solve for x
    x = 340,153,733,529/271,931
  6. Step 6: Final answer
    x = 1,250,882.52

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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.