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Finding the Third Proportional to 204,448 and 440,000

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Solution

The third proportional to 204,448 and 440,000 is: 946,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,448 : 440,000 = 440,000 : x
  2. Step 2: Convert to fraction form
    204,448/440,000 = 440,000/x
  3. Step 3: Cross multiply
    204,448x = 440,000 × 440,000
  4. Step 4: Simplify right side
    204,448x = 193,600,000,000
  5. Step 5: Solve for x
    x = 193,600,000,000/204,448
  6. Step 6: Final answer
    x = 946,940.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.