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Finding the Third Proportional to 228,222 and 463,356

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Solution

The third proportional to 228,222 and 463,356 is: 940,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,222 : 463,356 = 463,356 : x
  2. Step 2: Convert to fraction form
    228,222/463,356 = 463,356/x
  3. Step 3: Cross multiply
    228,222x = 463,356 × 463,356
  4. Step 4: Simplify right side
    228,222x = 214,698,782,736
  5. Step 5: Solve for x
    x = 214,698,782,736/228,222
  6. Step 6: Final answer
    x = 940,745.34

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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.