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Finding the Third Proportional to 382.13 and 798.56

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Solution

The third proportional to 382.13 and 798.56 is: 1,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.13 : 798.56 = 798.56 : x
  2. Step 2: Convert to fraction form
    382.13/798.56 = 798.56/x
  3. Step 3: Cross multiply
    382.13x = 798.56 × 798.56
  4. Step 4: Simplify right side
    382.13x = 637,702.07
  5. Step 5: Solve for x
    x = 637,702.07/382.13
  6. Step 6: Final answer
    x = 1,668.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.