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Finding the Third Proportional to 228,864 and 483,456

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Solution

The third proportional to 228,864 and 483,456 is: 1,021,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,864 : 483,456 = 483,456 : x
  2. Step 2: Convert to fraction form
    228,864/483,456 = 483,456/x
  3. Step 3: Cross multiply
    228,864x = 483,456 × 483,456
  4. Step 4: Simplify right side
    228,864x = 233,729,703,936
  5. Step 5: Solve for x
    x = 233,729,703,936/228,864
  6. Step 6: Final answer
    x = 1,021,260.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.