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Finding the Third Proportional to 361,956 and 733,608

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Solution

The third proportional to 361,956 and 733,608 is: 1,486,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,956 : 733,608 = 733,608 : x
  2. Step 2: Convert to fraction form
    361,956/733,608 = 733,608/x
  3. Step 3: Cross multiply
    361,956x = 733,608 × 733,608
  4. Step 4: Simplify right side
    361,956x = 538,180,697,664
  5. Step 5: Solve for x
    x = 538,180,697,664/361,956
  6. Step 6: Final answer
    x = 1,486,867.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.