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Finding the Third Proportional to 488,227 and 739,225

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Solution

The third proportional to 488,227 and 739,225 is: 1,119,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,227 : 739,225 = 739,225 : x
  2. Step 2: Convert to fraction form
    488,227/739,225 = 739,225/x
  3. Step 3: Cross multiply
    488,227x = 739,225 × 739,225
  4. Step 4: Simplify right side
    488,227x = 546,453,600,625
  5. Step 5: Solve for x
    x = 546,453,600,625/488,227
  6. Step 6: Final answer
    x = 1,119,261.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.