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Finding the Third Proportional to 401.50 and 467

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Solution

The third proportional to 401.50 and 467 is: 543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.50 : 467 = 467 : x
  2. Step 2: Convert to fraction form
    401.50/467 = 467/x
  3. Step 3: Cross multiply
    401.50x = 467 × 467
  4. Step 4: Simplify right side
    401.50x = 218,089
  5. Step 5: Solve for x
    x = 218,089/401.50
  6. Step 6: Final answer
    x = 543.19

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.