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Finding the Third Proportional to 379.63 and 825.13

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Solution

The third proportional to 379.63 and 825.13 is: 1,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.63 : 825.13 = 825.13 : x
  2. Step 2: Convert to fraction form
    379.63/825.13 = 825.13/x
  3. Step 3: Cross multiply
    379.63x = 825.13 × 825.13
  4. Step 4: Simplify right side
    379.63x = 680,831.27
  5. Step 5: Solve for x
    x = 680,831.27/379.63
  6. Step 6: Final answer
    x = 1,793.43

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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.