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Finding the Third Proportional to 275,035 and 437,635

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Solution

The third proportional to 275,035 and 437,635 is: 696,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,035 : 437,635 = 437,635 : x
  2. Step 2: Convert to fraction form
    275,035/437,635 = 437,635/x
  3. Step 3: Cross multiply
    275,035x = 437,635 × 437,635
  4. Step 4: Simplify right side
    275,035x = 191,524,393,225
  5. Step 5: Solve for x
    x = 191,524,393,225/275,035
  6. Step 6: Final answer
    x = 696,363.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.