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Finding the Third Proportional to 226,375 and 478,453

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Solution

The third proportional to 226,375 and 478,453 is: 1,011,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,375 : 478,453 = 478,453 : x
  2. Step 2: Convert to fraction form
    226,375/478,453 = 478,453/x
  3. Step 3: Cross multiply
    226,375x = 478,453 × 478,453
  4. Step 4: Simplify right side
    226,375x = 228,917,273,209
  5. Step 5: Solve for x
    x = 228,917,273,209/226,375
  6. Step 6: Final answer
    x = 1,011,230.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.