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Finding the Third Proportional to 286.06 and 610.56

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Solution

The third proportional to 286.06 and 610.56 is: 1,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.06 : 610.56 = 610.56 : x
  2. Step 2: Convert to fraction form
    286.06/610.56 = 610.56/x
  3. Step 3: Cross multiply
    286.06x = 610.56 × 610.56
  4. Step 4: Simplify right side
    286.06x = 372,786.57
  5. Step 5: Solve for x
    x = 372,786.57/286.06
  6. Step 6: Final answer
    x = 1,303.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.