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Finding the Third Proportional to 204,694 and 442,679

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Solution

The third proportional to 204,694 and 442,679 is: 957,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,694 : 442,679 = 442,679 : x
  2. Step 2: Convert to fraction form
    204,694/442,679 = 442,679/x
  3. Step 3: Cross multiply
    204,694x = 442,679 × 442,679
  4. Step 4: Simplify right side
    204,694x = 195,964,697,041
  5. Step 5: Solve for x
    x = 195,964,697,041/204,694
  6. Step 6: Final answer
    x = 957,354.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.