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Finding the Third Proportional to 363,759 and 793,596

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Solution

The third proportional to 363,759 and 793,596 is: 1,731,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,759 : 793,596 = 793,596 : x
  2. Step 2: Convert to fraction form
    363,759/793,596 = 793,596/x
  3. Step 3: Cross multiply
    363,759x = 793,596 × 793,596
  4. Step 4: Simplify right side
    363,759x = 629,794,611,216
  5. Step 5: Solve for x
    x = 629,794,611,216/363,759
  6. Step 6: Final answer
    x = 1,731,351.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.