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Finding the Third Proportional to 363.66 and 795.94

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Solution

The third proportional to 363.66 and 795.94 is: 1,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.66 : 795.94 = 795.94 : x
  2. Step 2: Convert to fraction form
    363.66/795.94 = 795.94/x
  3. Step 3: Cross multiply
    363.66x = 795.94 × 795.94
  4. Step 4: Simplify right side
    363.66x = 633,516.50
  5. Step 5: Solve for x
    x = 633,516.50/363.66
  6. Step 6: Final answer
    x = 1,742.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.