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Finding the Third Proportional to 204,009 and 444,310

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Solution

The third proportional to 204,009 and 444,310 is: 967,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,009 : 444,310 = 444,310 : x
  2. Step 2: Convert to fraction form
    204,009/444,310 = 444,310/x
  3. Step 3: Cross multiply
    204,009x = 444,310 × 444,310
  4. Step 4: Simplify right side
    204,009x = 197,411,376,100
  5. Step 5: Solve for x
    x = 197,411,376,100/204,009
  6. Step 6: Final answer
    x = 967,660.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.