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Finding the Third Proportional to 436.44 and 941.22

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Solution

The third proportional to 436.44 and 941.22 is: 2,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.44 : 941.22 = 941.22 : x
  2. Step 2: Convert to fraction form
    436.44/941.22 = 941.22/x
  3. Step 3: Cross multiply
    436.44x = 941.22 × 941.22
  4. Step 4: Simplify right side
    436.44x = 885,892.74
  5. Step 5: Solve for x
    x = 885,892.74/436.44
  6. Step 6: Final answer
    x = 2,029.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.