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Finding the Third Proportional to 227,328 and 478,227

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Solution

The third proportional to 227,328 and 478,227 is: 1,006,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,328 : 478,227 = 478,227 : x
  2. Step 2: Convert to fraction form
    227,328/478,227 = 478,227/x
  3. Step 3: Cross multiply
    227,328x = 478,227 × 478,227
  4. Step 4: Simplify right side
    227,328x = 228,701,063,529
  5. Step 5: Solve for x
    x = 228,701,063,529/227,328
  6. Step 6: Final answer
    x = 1,006,040.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.