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Finding the Third Proportional to 204,692 and 440,488

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Solution

The third proportional to 204,692 and 440,488 is: 947,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,692 : 440,488 = 440,488 : x
  2. Step 2: Convert to fraction form
    204,692/440,488 = 440,488/x
  3. Step 3: Cross multiply
    204,692x = 440,488 × 440,488
  4. Step 4: Simplify right side
    204,692x = 194,029,678,144
  5. Step 5: Solve for x
    x = 194,029,678,144/204,692
  6. Step 6: Final answer
    x = 947,910.41

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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.