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Finding the Third Proportional to 363,282 and 791,956

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Solution

The third proportional to 363,282 and 791,956 is: 1,726,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,282 : 791,956 = 791,956 : x
  2. Step 2: Convert to fraction form
    363,282/791,956 = 791,956/x
  3. Step 3: Cross multiply
    363,282x = 791,956 × 791,956
  4. Step 4: Simplify right side
    363,282x = 627,194,305,936
  5. Step 5: Solve for x
    x = 627,194,305,936/363,282
  6. Step 6: Final answer
    x = 1,726,466.78

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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.