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Finding the Third Proportional to 542.63 and 1,183.31

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Solution

The third proportional to 542.63 and 1,183.31 is: 2,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.63 : 1,183.31 = 1,183.31 : x
  2. Step 2: Convert to fraction form
    542.63/1,183.31 = 1,183.31/x
  3. Step 3: Cross multiply
    542.63x = 1,183.31 × 1,183.31
  4. Step 4: Simplify right side
    542.63x = 1,400,228.47
  5. Step 5: Solve for x
    x = 1,400,228.47/542.63
  6. Step 6: Final answer
    x = 2,580.47

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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.