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Finding the Third Proportional to 228,544 and 468,224

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Solution

The third proportional to 228,544 and 468,224 is: 959,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,544 : 468,224 = 468,224 : x
  2. Step 2: Convert to fraction form
    228,544/468,224 = 468,224/x
  3. Step 3: Cross multiply
    228,544x = 468,224 × 468,224
  4. Step 4: Simplify right side
    228,544x = 219,233,714,176
  5. Step 5: Solve for x
    x = 219,233,714,176/228,544
  6. Step 6: Final answer
    x = 959,262.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.