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Finding the Third Proportional to 204,420 and 444,840

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Solution

The third proportional to 204,420 and 444,840 is: 968,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,420 : 444,840 = 444,840 : x
  2. Step 2: Convert to fraction form
    204,420/444,840 = 444,840/x
  3. Step 3: Cross multiply
    204,420x = 444,840 × 444,840
  4. Step 4: Simplify right side
    204,420x = 197,882,625,600
  5. Step 5: Solve for x
    x = 197,882,625,600/204,420
  6. Step 6: Final answer
    x = 968,019.89

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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.