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Finding the Third Proportional to 363.34 and 555.92

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Solution

The third proportional to 363.34 and 555.92 is: 850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.34 : 555.92 = 555.92 : x
  2. Step 2: Convert to fraction form
    363.34/555.92 = 555.92/x
  3. Step 3: Cross multiply
    363.34x = 555.92 × 555.92
  4. Step 4: Simplify right side
    363.34x = 309,049.13
  5. Step 5: Solve for x
    x = 309,049.13/363.34
  6. Step 6: Final answer
    x = 850.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.