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Finding the Third Proportional to 408.52 and 614.53

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Solution

The third proportional to 408.52 and 614.53 is: 924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.52 : 614.53 = 614.53 : x
  2. Step 2: Convert to fraction form
    408.52/614.53 = 614.53/x
  3. Step 3: Cross multiply
    408.52x = 614.53 × 614.53
  4. Step 4: Simplify right side
    408.52x = 377,648.66
  5. Step 5: Solve for x
    x = 377,648.66/408.52
  6. Step 6: Final answer
    x = 924.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.