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Finding the Third Proportional to 204,684 and 440,472

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Solution

The third proportional to 204,684 and 440,472 is: 947,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,684 : 440,472 = 440,472 : x
  2. Step 2: Convert to fraction form
    204,684/440,472 = 440,472/x
  3. Step 3: Cross multiply
    204,684x = 440,472 × 440,472
  4. Step 4: Simplify right side
    204,684x = 194,015,582,784
  5. Step 5: Solve for x
    x = 194,015,582,784/204,684
  6. Step 6: Final answer
    x = 947,878.60

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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.