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Finding the Third Proportional to 293,366 and 442,857

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Solution

The third proportional to 293,366 and 442,857 is: 668,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,366 : 442,857 = 442,857 : x
  2. Step 2: Convert to fraction form
    293,366/442,857 = 442,857/x
  3. Step 3: Cross multiply
    293,366x = 442,857 × 442,857
  4. Step 4: Simplify right side
    293,366x = 196,122,322,449
  5. Step 5: Solve for x
    x = 196,122,322,449/293,366
  6. Step 6: Final answer
    x = 668,524.38

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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.