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Finding the Third Proportional to 201,894 and 437,227

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Solution

The third proportional to 201,894 and 437,227 is: 946,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,894 : 437,227 = 437,227 : x
  2. Step 2: Convert to fraction form
    201,894/437,227 = 437,227/x
  3. Step 3: Cross multiply
    201,894x = 437,227 × 437,227
  4. Step 4: Simplify right side
    201,894x = 191,167,449,529
  5. Step 5: Solve for x
    x = 191,167,449,529/201,894
  6. Step 6: Final answer
    x = 946,870.39

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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.