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Finding the Third Proportional to 650.44 and 827.06

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Solution

The third proportional to 650.44 and 827.06 is: 1,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.44 : 827.06 = 827.06 : x
  2. Step 2: Convert to fraction form
    650.44/827.06 = 827.06/x
  3. Step 3: Cross multiply
    650.44x = 827.06 × 827.06
  4. Step 4: Simplify right side
    650.44x = 684,032.38
  5. Step 5: Solve for x
    x = 684,032.38/650.44
  6. Step 6: Final answer
    x = 1,051.65

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.