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Finding the Third Proportional to 451,377 and 701,169.75

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Solution

The third proportional to 451,377 and 701,169.75 is: 1,089,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,377 : 701,169.75 = 701,169.75 : x
  2. Step 2: Convert to fraction form
    451,377/701,169.75 = 701,169.75/x
  3. Step 3: Cross multiply
    451,377x = 701,169.75 × 701,169.75
  4. Step 4: Simplify right side
    451,377x = 491,639,018,315.06
  5. Step 5: Solve for x
    x = 491,639,018,315.06/451,377
  6. Step 6: Final answer
    x = 1,089,198.21

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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.