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Finding the Third Proportional to 566.92 and 1,236.12

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Solution

The third proportional to 566.92 and 1,236.12 is: 2,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.92 : 1,236.12 = 1,236.12 : x
  2. Step 2: Convert to fraction form
    566.92/1,236.12 = 1,236.12/x
  3. Step 3: Cross multiply
    566.92x = 1,236.12 × 1,236.12
  4. Step 4: Simplify right side
    566.92x = 1,527,992.94
  5. Step 5: Solve for x
    x = 1,527,992.94/566.92
  6. Step 6: Final answer
    x = 2,695.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.