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Finding the Third Proportional to 383,228 and 791,053

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Solution

The third proportional to 383,228 and 791,053 is: 1,632,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,228 : 791,053 = 791,053 : x
  2. Step 2: Convert to fraction form
    383,228/791,053 = 791,053/x
  3. Step 3: Cross multiply
    383,228x = 791,053 × 791,053
  4. Step 4: Simplify right side
    383,228x = 625,764,848,809
  5. Step 5: Solve for x
    x = 625,764,848,809/383,228
  6. Step 6: Final answer
    x = 1,632,878.73

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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.