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Finding the Third Proportional to 542.64 and 739.60

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Solution

The third proportional to 542.64 and 739.60 is: 1,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.64 : 739.60 = 739.60 : x
  2. Step 2: Convert to fraction form
    542.64/739.60 = 739.60/x
  3. Step 3: Cross multiply
    542.64x = 739.60 × 739.60
  4. Step 4: Simplify right side
    542.64x = 547,007.58
  5. Step 5: Solve for x
    x = 547,007.58/542.64
  6. Step 6: Final answer
    x = 1,008.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.