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Finding the Third Proportional to 383,226 and 791,049

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Solution

The third proportional to 383,226 and 791,049 is: 1,632,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,226 : 791,049 = 791,049 : x
  2. Step 2: Convert to fraction form
    383,226/791,049 = 791,049/x
  3. Step 3: Cross multiply
    383,226x = 791,049 × 791,049
  4. Step 4: Simplify right side
    383,226x = 625,758,520,401
  5. Step 5: Solve for x
    x = 625,758,520,401/383,226
  6. Step 6: Final answer
    x = 1,632,870.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.