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Finding the Third Proportional to 228,228 and 463,367

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Solution

The third proportional to 228,228 and 463,367 is: 940,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,228 : 463,367 = 463,367 : x
  2. Step 2: Convert to fraction form
    228,228/463,367 = 463,367/x
  3. Step 3: Cross multiply
    228,228x = 463,367 × 463,367
  4. Step 4: Simplify right side
    228,228x = 214,708,976,689
  5. Step 5: Solve for x
    x = 214,708,976,689/228,228
  6. Step 6: Final answer
    x = 940,765.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.