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Finding the Third Proportional to 228,227 and 463,365

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Solution

The third proportional to 228,227 and 463,365 is: 940,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,227 : 463,365 = 463,365 : x
  2. Step 2: Convert to fraction form
    228,227/463,365 = 463,365/x
  3. Step 3: Cross multiply
    228,227x = 463,365 × 463,365
  4. Step 4: Simplify right side
    228,227x = 214,707,123,225
  5. Step 5: Solve for x
    x = 214,707,123,225/228,227
  6. Step 6: Final answer
    x = 940,761.27

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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.