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Finding the Third Proportional to 379,725 and 835,242

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Solution

The third proportional to 379,725 and 835,242 is: 1,837,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,725 : 835,242 = 835,242 : x
  2. Step 2: Convert to fraction form
    379,725/835,242 = 835,242/x
  3. Step 3: Cross multiply
    379,725x = 835,242 × 835,242
  4. Step 4: Simplify right side
    379,725x = 697,629,198,564
  5. Step 5: Solve for x
    x = 697,629,198,564/379,725
  6. Step 6: Final answer
    x = 1,837,195.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.