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Finding the Third Proportional to 363,609 and 793,314

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Solution

The third proportional to 363,609 and 793,314 is: 1,730,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,609 : 793,314 = 793,314 : x
  2. Step 2: Convert to fraction form
    363,609/793,314 = 793,314/x
  3. Step 3: Cross multiply
    363,609x = 793,314 × 793,314
  4. Step 4: Simplify right side
    363,609x = 629,347,102,596
  5. Step 5: Solve for x
    x = 629,347,102,596/363,609
  6. Step 6: Final answer
    x = 1,730,834.78

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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.