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Finding the Third Proportional to 286.13 and 486.56

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Solution

The third proportional to 286.13 and 486.56 is: 827.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.13 : 486.56 = 486.56 : x
  2. Step 2: Convert to fraction form
    286.13/486.56 = 486.56/x
  3. Step 3: Cross multiply
    286.13x = 486.56 × 486.56
  4. Step 4: Simplify right side
    286.13x = 236,743.07
  5. Step 5: Solve for x
    x = 236,743.07/286.13
  6. Step 6: Final answer
    x = 827.41

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.