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Finding the Third Proportional to 201,919.88 and 440,512.13

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Solution

The third proportional to 201,919.88 and 440,512.13 is: 961,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,919.88 : 440,512.13 = 440,512.13 : x
  2. Step 2: Convert to fraction form
    201,919.88/440,512.13 = 440,512.13/x
  3. Step 3: Cross multiply
    201,919.88x = 440,512.13 × 440,512.13
  4. Step 4: Simplify right side
    201,919.88x = 194,050,932,272.02
  5. Step 5: Solve for x
    x = 194,050,932,272.02/201,919.88
  6. Step 6: Final answer
    x = 961,029.38

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