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Finding the Third Proportional to 363,710 and 790,375

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Solution

The third proportional to 363,710 and 790,375 is: 1,717,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,710 : 790,375 = 790,375 : x
  2. Step 2: Convert to fraction form
    363,710/790,375 = 790,375/x
  3. Step 3: Cross multiply
    363,710x = 790,375 × 790,375
  4. Step 4: Simplify right side
    363,710x = 624,692,640,625
  5. Step 5: Solve for x
    x = 624,692,640,625/363,710
  6. Step 6: Final answer
    x = 1,717,556.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.