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Finding the Third Proportional to 325,624 and 694,259

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Solution

The third proportional to 325,624 and 694,259 is: 1,480,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,624 : 694,259 = 694,259 : x
  2. Step 2: Convert to fraction form
    325,624/694,259 = 694,259/x
  3. Step 3: Cross multiply
    325,624x = 694,259 × 694,259
  4. Step 4: Simplify right side
    325,624x = 481,995,559,081
  5. Step 5: Solve for x
    x = 481,995,559,081/325,624
  6. Step 6: Final answer
    x = 1,480,221.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.