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Finding the Third Proportional to 324,441 and 698,802

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Solution

The third proportional to 324,441 and 698,802 is: 1,505,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,441 : 698,802 = 698,802 : x
  2. Step 2: Convert to fraction form
    324,441/698,802 = 698,802/x
  3. Step 3: Cross multiply
    324,441x = 698,802 × 698,802
  4. Step 4: Simplify right side
    324,441x = 488,324,235,204
  5. Step 5: Solve for x
    x = 488,324,235,204/324,441
  6. Step 6: Final answer
    x = 1,505,124.92

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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.