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Finding the Third Proportional to 542.04 and 811.55

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Solution

The third proportional to 542.04 and 811.55 is: 1,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.04 : 811.55 = 811.55 : x
  2. Step 2: Convert to fraction form
    542.04/811.55 = 811.55/x
  3. Step 3: Cross multiply
    542.04x = 811.55 × 811.55
  4. Step 4: Simplify right side
    542.04x = 658,608.33
  5. Step 5: Solve for x
    x = 658,608.33/542.04
  6. Step 6: Final answer
    x = 1,215.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.