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Finding the Third Proportional to 467.73 and 711.20

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Solution

The third proportional to 467.73 and 711.20 is: 1,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.73 : 711.20 = 711.20 : x
  2. Step 2: Convert to fraction form
    467.73/711.20 = 711.20/x
  3. Step 3: Cross multiply
    467.73x = 711.20 × 711.20
  4. Step 4: Simplify right side
    467.73x = 505,808.50
  5. Step 5: Solve for x
    x = 505,808.50/467.73
  6. Step 6: Final answer
    x = 1,081.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.