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Finding the Third Proportional to 486 and 827.09

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Solution

The third proportional to 486 and 827.09 is: 1,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    486 : 827.09 = 827.09 : x
  2. Step 2: Convert to fraction form
    486/827.09 = 827.09/x
  3. Step 3: Cross multiply
    486x = 827.09 × 827.09
  4. Step 4: Simplify right side
    486x = 684,071.15
  5. Step 5: Solve for x
    x = 684,071.15/486
  6. Step 6: Final answer
    x = 1,407.55

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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.