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Finding the Third Proportional to 201,586 and 440,012

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Solution

The third proportional to 201,586 and 440,012 is: 960,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,586 : 440,012 = 440,012 : x
  2. Step 2: Convert to fraction form
    201,586/440,012 = 440,012/x
  3. Step 3: Cross multiply
    201,586x = 440,012 × 440,012
  4. Step 4: Simplify right side
    201,586x = 193,610,560,144
  5. Step 5: Solve for x
    x = 193,610,560,144/201,586
  6. Step 6: Final answer
    x = 960,436.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.