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Finding the Third Proportional to 324,308 and 696,568

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Solution

The third proportional to 324,308 and 696,568 is: 1,496,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,308 : 696,568 = 696,568 : x
  2. Step 2: Convert to fraction form
    324,308/696,568 = 696,568/x
  3. Step 3: Cross multiply
    324,308x = 696,568 × 696,568
  4. Step 4: Simplify right side
    324,308x = 485,206,978,624
  5. Step 5: Solve for x
    x = 485,206,978,624/324,308
  6. Step 6: Final answer
    x = 1,496,130.16

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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.