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Finding the Third Proportional to 383,221 and 791,043

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Solution

The third proportional to 383,221 and 791,043 is: 1,632,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,221 : 791,043 = 791,043 : x
  2. Step 2: Convert to fraction form
    383,221/791,043 = 791,043/x
  3. Step 3: Cross multiply
    383,221x = 791,043 × 791,043
  4. Step 4: Simplify right side
    383,221x = 625,749,027,849
  5. Step 5: Solve for x
    x = 625,749,027,849/383,221
  6. Step 6: Final answer
    x = 1,632,867.27

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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.