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Finding the Third Proportional to 286.13 and 584.06

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Solution

The third proportional to 286.13 and 584.06 is: 1,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.13 : 584.06 = 584.06 : x
  2. Step 2: Convert to fraction form
    286.13/584.06 = 584.06/x
  3. Step 3: Cross multiply
    286.13x = 584.06 × 584.06
  4. Step 4: Simplify right side
    286.13x = 341,129.00
  5. Step 5: Solve for x
    x = 341,129.00/286.13
  6. Step 6: Final answer
    x = 1,192.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.