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Finding the Third Proportional to 252,696 and 394,248

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Solution

The third proportional to 252,696 and 394,248 is: 615,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,696 : 394,248 = 394,248 : x
  2. Step 2: Convert to fraction form
    252,696/394,248 = 394,248/x
  3. Step 3: Cross multiply
    252,696x = 394,248 × 394,248
  4. Step 4: Simplify right side
    252,696x = 155,431,485,504
  5. Step 5: Solve for x
    x = 155,431,485,504/252,696
  6. Step 6: Final answer
    x = 615,092.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.