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Finding the Third Proportional to 436.38 and 944.75

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Solution

The third proportional to 436.38 and 944.75 is: 2,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.38 : 944.75 = 944.75 : x
  2. Step 2: Convert to fraction form
    436.38/944.75 = 944.75/x
  3. Step 3: Cross multiply
    436.38x = 944.75 × 944.75
  4. Step 4: Simplify right side
    436.38x = 892,552.56
  5. Step 5: Solve for x
    x = 892,552.56/436.38
  6. Step 6: Final answer
    x = 2,045.38

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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.