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Finding the Third Proportional to 201,891 and 437,221

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Solution

The third proportional to 201,891 and 437,221 is: 946,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,891 : 437,221 = 437,221 : x
  2. Step 2: Convert to fraction form
    201,891/437,221 = 437,221/x
  3. Step 3: Cross multiply
    201,891x = 437,221 × 437,221
  4. Step 4: Simplify right side
    201,891x = 191,162,202,841
  5. Step 5: Solve for x
    x = 191,162,202,841/201,891
  6. Step 6: Final answer
    x = 946,858.47

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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.