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Finding the Third Proportional to 363,591 and 793,269

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Solution

The third proportional to 363,591 and 793,269 is: 1,730,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,591 : 793,269 = 793,269 : x
  2. Step 2: Convert to fraction form
    363,591/793,269 = 793,269/x
  3. Step 3: Cross multiply
    363,591x = 793,269 × 793,269
  4. Step 4: Simplify right side
    363,591x = 629,275,706,361
  5. Step 5: Solve for x
    x = 629,275,706,361/363,591
  6. Step 6: Final answer
    x = 1,730,724.10

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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.