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Finding the Third Proportional to 260,753.25 and 541,489.88

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Solution

The third proportional to 260,753.25 and 541,489.88 is: 1,124,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,753.25 : 541,489.88 = 541,489.88 : x
  2. Step 2: Convert to fraction form
    260,753.25/541,489.88 = 541,489.88/x
  3. Step 3: Cross multiply
    260,753.25x = 541,489.88 × 541,489.88
  4. Step 4: Simplify right side
    260,753.25x = 293,211,284,727.52
  5. Step 5: Solve for x
    x = 293,211,284,727.52/260,753.25
  6. Step 6: Final answer
    x = 1,124,477.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.