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Finding the Third Proportional to 326.53 and 457.73

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Solution

The third proportional to 326.53 and 457.73 is: 641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.53 : 457.73 = 457.73 : x
  2. Step 2: Convert to fraction form
    326.53/457.73 = 457.73/x
  3. Step 3: Cross multiply
    326.53x = 457.73 × 457.73
  4. Step 4: Simplify right side
    326.53x = 209,520.76
  5. Step 5: Solve for x
    x = 209,520.76/326.53
  6. Step 6: Final answer
    x = 641.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.