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Finding the Third Proportional to 204,710 and 444,382

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Solution

The third proportional to 204,710 and 444,382 is: 964,659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,710 : 444,382 = 444,382 : x
  2. Step 2: Convert to fraction form
    204,710/444,382 = 444,382/x
  3. Step 3: Cross multiply
    204,710x = 444,382 × 444,382
  4. Step 4: Simplify right side
    204,710x = 197,475,361,924
  5. Step 5: Solve for x
    x = 197,475,361,924/204,710
  6. Step 6: Final answer
    x = 964,659.09

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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.