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Finding the Third Proportional to 541,933 and 762,485

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Solution

The third proportional to 541,933 and 762,485 is: 1,072,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,933 : 762,485 = 762,485 : x
  2. Step 2: Convert to fraction form
    541,933/762,485 = 762,485/x
  3. Step 3: Cross multiply
    541,933x = 762,485 × 762,485
  4. Step 4: Simplify right side
    541,933x = 581,383,375,225
  5. Step 5: Solve for x
    x = 581,383,375,225/541,933
  6. Step 6: Final answer
    x = 1,072,795.67

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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.