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Finding the Third Proportional to 228,624 and 474,496

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Solution

The third proportional to 228,624 and 474,496 is: 984,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,624 : 474,496 = 474,496 : x
  2. Step 2: Convert to fraction form
    228,624/474,496 = 474,496/x
  3. Step 3: Cross multiply
    228,624x = 474,496 × 474,496
  4. Step 4: Simplify right side
    228,624x = 225,146,454,016
  5. Step 5: Solve for x
    x = 225,146,454,016/228,624
  6. Step 6: Final answer
    x = 984,789.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.