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Finding the Third Proportional to 275.06 and 581.06

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Solution

The third proportional to 275.06 and 581.06 is: 1,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.06 : 581.06 = 581.06 : x
  2. Step 2: Convert to fraction form
    275.06/581.06 = 581.06/x
  3. Step 3: Cross multiply
    275.06x = 581.06 × 581.06
  4. Step 4: Simplify right side
    275.06x = 337,633.63
  5. Step 5: Solve for x
    x = 337,633.63/275.06
  6. Step 6: Final answer
    x = 1,227.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.