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Finding the Third Proportional to 201,912.41 and 440,500.06

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Solution

The third proportional to 201,912.41 and 440,500.06 is: 961,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,912.41 : 440,500.06 = 440,500.06 : x
  2. Step 2: Convert to fraction form
    201,912.41/440,500.06 = 440,500.06/x
  3. Step 3: Cross multiply
    201,912.41x = 440,500.06 × 440,500.06
  4. Step 4: Simplify right side
    201,912.41x = 194,040,305,062.50
  5. Step 5: Solve for x
    x = 194,040,305,062.50/201,912.41
  6. Step 6: Final answer
    x = 961,012.30

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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.