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Finding the Third Proportional to 451,379 and 701,171

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Solution

The third proportional to 451,379 and 701,171 is: 1,089,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,379 : 701,171 = 701,171 : x
  2. Step 2: Convert to fraction form
    451,379/701,171 = 701,171/x
  3. Step 3: Cross multiply
    451,379x = 701,171 × 701,171
  4. Step 4: Simplify right side
    451,379x = 491,640,771,241
  5. Step 5: Solve for x
    x = 491,640,771,241/451,379
  6. Step 6: Final answer
    x = 1,089,197.26

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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.