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Finding the Third Proportional to 204,384 and 444,768

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Solution

The third proportional to 204,384 and 444,768 is: 967,877.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,384 : 444,768 = 444,768 : x
  2. Step 2: Convert to fraction form
    204,384/444,768 = 444,768/x
  3. Step 3: Cross multiply
    204,384x = 444,768 × 444,768
  4. Step 4: Simplify right side
    204,384x = 197,818,573,824
  5. Step 5: Solve for x
    x = 197,818,573,824/204,384
  6. Step 6: Final answer
    x = 967,877.01

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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.