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Finding the Third Proportional to 542,200.50 and 811,659.75

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Solution

The third proportional to 542,200.50 and 811,659.75 is: 1,215,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,200.50 : 811,659.75 = 811,659.75 : x
  2. Step 2: Convert to fraction form
    542,200.50/811,659.75 = 811,659.75/x
  3. Step 3: Cross multiply
    542,200.50x = 811,659.75 × 811,659.75
  4. Step 4: Simplify right side
    542,200.50x = 658,791,549,770.06
  5. Step 5: Solve for x
    x = 658,791,549,770.06/542,200.50
  6. Step 6: Final answer
    x = 1,215,033.09

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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.