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Finding the Third Proportional to 363.88 and 544.63

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Solution

The third proportional to 363.88 and 544.63 is: 815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.88 : 544.63 = 544.63 : x
  2. Step 2: Convert to fraction form
    363.88/544.63 = 544.63/x
  3. Step 3: Cross multiply
    363.88x = 544.63 × 544.63
  4. Step 4: Simplify right side
    363.88x = 296,616.39
  5. Step 5: Solve for x
    x = 296,616.39/363.88
  6. Step 6: Final answer
    x = 815.16

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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.