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Finding the Third Proportional to 325,449 and 503,874

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Solution

The third proportional to 325,449 and 503,874 is: 780,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,449 : 503,874 = 503,874 : x
  2. Step 2: Convert to fraction form
    325,449/503,874 = 503,874/x
  3. Step 3: Cross multiply
    325,449x = 503,874 × 503,874
  4. Step 4: Simplify right side
    325,449x = 253,889,007,876
  5. Step 5: Solve for x
    x = 253,889,007,876/325,449
  6. Step 6: Final answer
    x = 780,119.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.