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Finding the Third Proportional to 325,611 and 503,181

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Solution

The third proportional to 325,611 and 503,181 is: 777,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,611 : 503,181 = 503,181 : x
  2. Step 2: Convert to fraction form
    325,611/503,181 = 503,181/x
  3. Step 3: Cross multiply
    325,611x = 503,181 × 503,181
  4. Step 4: Simplify right side
    325,611x = 253,191,118,761
  5. Step 5: Solve for x
    x = 253,191,118,761/325,611
  6. Step 6: Final answer
    x = 777,587.73

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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.