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Finding the Third Proportional to 366.13 and 792.88

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Solution

The third proportional to 366.13 and 792.88 is: 1,717.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.13 : 792.88 = 792.88 : x
  2. Step 2: Convert to fraction form
    366.13/792.88 = 792.88/x
  3. Step 3: Cross multiply
    366.13x = 792.88 × 792.88
  4. Step 4: Simplify right side
    366.13x = 628,650.77
  5. Step 5: Solve for x
    x = 628,650.77/366.13
  6. Step 6: Final answer
    x = 1,717.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.