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Finding the Third Proportional to 252,794 and 380,794

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Solution

The third proportional to 252,794 and 380,794 is: 573,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,794 : 380,794 = 380,794 : x
  2. Step 2: Convert to fraction form
    252,794/380,794 = 380,794/x
  3. Step 3: Cross multiply
    252,794x = 380,794 × 380,794
  4. Step 4: Simplify right side
    252,794x = 145,004,070,436
  5. Step 5: Solve for x
    x = 145,004,070,436/252,794
  6. Step 6: Final answer
    x = 573,605.66

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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.