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Finding the Third Proportional to 436.43 and 885.52

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Solution

The third proportional to 436.43 and 885.52 is: 1,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.43 : 885.52 = 885.52 : x
  2. Step 2: Convert to fraction form
    436.43/885.52 = 885.52/x
  3. Step 3: Cross multiply
    436.43x = 885.52 × 885.52
  4. Step 4: Simplify right side
    436.43x = 784,137.92
  5. Step 5: Solve for x
    x = 784,137.92/436.43
  6. Step 6: Final answer
    x = 1,796.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.