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Finding the Third Proportional to 366.44 and 790.69

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Solution

The third proportional to 366.44 and 790.69 is: 1,706.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.44 : 790.69 = 790.69 : x
  2. Step 2: Convert to fraction form
    366.44/790.69 = 790.69/x
  3. Step 3: Cross multiply
    366.44x = 790.69 × 790.69
  4. Step 4: Simplify right side
    366.44x = 625,186.72
  5. Step 5: Solve for x
    x = 625,186.72/366.44
  6. Step 6: Final answer
    x = 1,706.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.