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Finding the Third Proportional to 324,462 and 698,847

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Solution

The third proportional to 324,462 and 698,847 is: 1,505,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,462 : 698,847 = 698,847 : x
  2. Step 2: Convert to fraction form
    324,462/698,847 = 698,847/x
  3. Step 3: Cross multiply
    324,462x = 698,847 × 698,847
  4. Step 4: Simplify right side
    324,462x = 488,387,129,409
  5. Step 5: Solve for x
    x = 488,387,129,409/324,462
  6. Step 6: Final answer
    x = 1,505,221.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.