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Finding the Third Proportional to 383,214 and 580,122

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Solution

The third proportional to 383,214 and 580,122 is: 878,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,214 : 580,122 = 580,122 : x
  2. Step 2: Convert to fraction form
    383,214/580,122 = 580,122/x
  3. Step 3: Cross multiply
    383,214x = 580,122 × 580,122
  4. Step 4: Simplify right side
    383,214x = 336,541,534,884
  5. Step 5: Solve for x
    x = 336,541,534,884/383,214
  6. Step 6: Final answer
    x = 878,207.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.