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Finding the Third Proportional to 324,463 and 696,917

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Solution

The third proportional to 324,463 and 696,917 is: 1,496,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,463 : 696,917 = 696,917 : x
  2. Step 2: Convert to fraction form
    324,463/696,917 = 696,917/x
  3. Step 3: Cross multiply
    324,463x = 696,917 × 696,917
  4. Step 4: Simplify right side
    324,463x = 485,693,304,889
  5. Step 5: Solve for x
    x = 485,693,304,889/324,463
  6. Step 6: Final answer
    x = 1,496,914.30

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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.