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Finding the Third Proportional to 475.75 and 995.38

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Solution

The third proportional to 475.75 and 995.38 is: 2,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.75 : 995.38 = 995.38 : x
  2. Step 2: Convert to fraction form
    475.75/995.38 = 995.38/x
  3. Step 3: Cross multiply
    475.75x = 995.38 × 995.38
  4. Step 4: Simplify right side
    475.75x = 990,771.39
  5. Step 5: Solve for x
    x = 990,771.39/475.75
  6. Step 6: Final answer
    x = 2,082.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.