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Finding the Third Proportional to 275,952 and 421,848

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Solution

The third proportional to 275,952 and 421,848 is: 644,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,952 : 421,848 = 421,848 : x
  2. Step 2: Convert to fraction form
    275,952/421,848 = 421,848/x
  3. Step 3: Cross multiply
    275,952x = 421,848 × 421,848
  4. Step 4: Simplify right side
    275,952x = 177,955,735,104
  5. Step 5: Solve for x
    x = 177,955,735,104/275,952
  6. Step 6: Final answer
    x = 644,879.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.