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Finding the Third Proportional to 403 and 827.75

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Solution

The third proportional to 403 and 827.75 is: 1,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    403 : 827.75 = 827.75 : x
  2. Step 2: Convert to fraction form
    403/827.75 = 827.75/x
  3. Step 3: Cross multiply
    403x = 827.75 × 827.75
  4. Step 4: Simplify right side
    403x = 685,170.06
  5. Step 5: Solve for x
    x = 685,170.06/403
  6. Step 6: Final answer
    x = 1,700.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.