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Finding the Third Proportional to 451,381 and 701,174

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Solution

The third proportional to 451,381 and 701,174 is: 1,089,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,381 : 701,174 = 701,174 : x
  2. Step 2: Convert to fraction form
    451,381/701,174 = 701,174/x
  3. Step 3: Cross multiply
    451,381x = 701,174 × 701,174
  4. Step 4: Simplify right side
    451,381x = 491,644,978,276
  5. Step 5: Solve for x
    x = 491,644,978,276/451,381
  6. Step 6: Final answer
    x = 1,089,201.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.