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Finding the Third Proportional to 325,444 and 503,869

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Solution

The third proportional to 325,444 and 503,869 is: 780,115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,444 : 503,869 = 503,869 : x
  2. Step 2: Convert to fraction form
    325,444/503,869 = 503,869/x
  3. Step 3: Cross multiply
    325,444x = 503,869 × 503,869
  4. Step 4: Simplify right side
    325,444x = 253,883,969,161
  5. Step 5: Solve for x
    x = 253,883,969,161/325,444
  6. Step 6: Final answer
    x = 780,115.69

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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.