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Finding the Third Proportional to 204,613 and 444,643

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Solution

The third proportional to 204,613 and 444,643 is: 966,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,613 : 444,643 = 444,643 : x
  2. Step 2: Convert to fraction form
    204,613/444,643 = 444,643/x
  3. Step 3: Cross multiply
    204,613x = 444,643 × 444,643
  4. Step 4: Simplify right side
    204,613x = 197,707,397,449
  5. Step 5: Solve for x
    x = 197,707,397,449/204,613
  6. Step 6: Final answer
    x = 966,250.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.