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Finding the Third Proportional to 379,204 and 571,212

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Solution

The third proportional to 379,204 and 571,212 is: 860,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,204 : 571,212 = 571,212 : x
  2. Step 2: Convert to fraction form
    379,204/571,212 = 571,212/x
  3. Step 3: Cross multiply
    379,204x = 571,212 × 571,212
  4. Step 4: Simplify right side
    379,204x = 326,283,148,944
  5. Step 5: Solve for x
    x = 326,283,148,944/379,204
  6. Step 6: Final answer
    x = 860,442.27

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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.