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Finding the Third Proportional to 324,129 and 490,662

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Solution

The third proportional to 324,129 and 490,662 is: 742,757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,129 : 490,662 = 490,662 : x
  2. Step 2: Convert to fraction form
    324,129/490,662 = 490,662/x
  3. Step 3: Cross multiply
    324,129x = 490,662 × 490,662
  4. Step 4: Simplify right side
    324,129x = 240,749,198,244
  5. Step 5: Solve for x
    x = 240,749,198,244/324,129
  6. Step 6: Final answer
    x = 742,757.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.