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Finding the Third Proportional to 541,928.50 and 762,481.50

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Solution

The third proportional to 541,928.50 and 762,481.50 is: 1,072,794.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,928.50 : 762,481.50 = 762,481.50 : x
  2. Step 2: Convert to fraction form
    541,928.50/762,481.50 = 762,481.50/x
  3. Step 3: Cross multiply
    541,928.50x = 762,481.50 × 762,481.50
  4. Step 4: Simplify right side
    541,928.50x = 581,378,037,842.25
  5. Step 5: Solve for x
    x = 581,378,037,842.25/541,928.50
  6. Step 6: Final answer
    x = 1,072,794.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.