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Finding the Third Proportional to 401 and 864.75

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Solution

The third proportional to 401 and 864.75 is: 1,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401 : 864.75 = 864.75 : x
  2. Step 2: Convert to fraction form
    401/864.75 = 864.75/x
  3. Step 3: Cross multiply
    401x = 864.75 × 864.75
  4. Step 4: Simplify right side
    401x = 747,792.56
  5. Step 5: Solve for x
    x = 747,792.56/401
  6. Step 6: Final answer
    x = 1,864.82

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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.