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Finding the Third Proportional to 379,242 and 814,716

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Solution

The third proportional to 379,242 and 814,716 is: 1,750,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,242 : 814,716 = 814,716 : x
  2. Step 2: Convert to fraction form
    379,242/814,716 = 814,716/x
  3. Step 3: Cross multiply
    379,242x = 814,716 × 814,716
  4. Step 4: Simplify right side
    379,242x = 663,762,160,656
  5. Step 5: Solve for x
    x = 663,762,160,656/379,242
  6. Step 6: Final answer
    x = 1,750,233.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.