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Finding the Third Proportional to 542.64 and 1,181.46

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Solution

The third proportional to 542.64 and 1,181.46 is: 2,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.64 : 1,181.46 = 1,181.46 : x
  2. Step 2: Convert to fraction form
    542.64/1,181.46 = 1,181.46/x
  3. Step 3: Cross multiply
    542.64x = 1,181.46 × 1,181.46
  4. Step 4: Simplify right side
    542.64x = 1,395,849.95
  5. Step 5: Solve for x
    x = 1,395,849.95/542.64
  6. Step 6: Final answer
    x = 2,572.35

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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.