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Finding the Third Proportional to 363,639 and 791,367

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Solution

The third proportional to 363,639 and 791,367 is: 1,722,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,639 : 791,367 = 791,367 : x
  2. Step 2: Convert to fraction form
    363,639/791,367 = 791,367/x
  3. Step 3: Cross multiply
    363,639x = 791,367 × 791,367
  4. Step 4: Simplify right side
    363,639x = 626,261,728,689
  5. Step 5: Solve for x
    x = 626,261,728,689/363,639
  6. Step 6: Final answer
    x = 1,722,207.27

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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.