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Finding the Third Proportional to 542.06 and 1,182.56

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Solution

The third proportional to 542.06 and 1,182.56 is: 2,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.06 : 1,182.56 = 1,182.56 : x
  2. Step 2: Convert to fraction form
    542.06/1,182.56 = 1,182.56/x
  3. Step 3: Cross multiply
    542.06x = 1,182.56 × 1,182.56
  4. Step 4: Simplify right side
    542.06x = 1,398,454.07
  5. Step 5: Solve for x
    x = 1,398,454.07/542.06
  6. Step 6: Final answer
    x = 2,579.88

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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.