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Finding the Third Proportional to 451,373.45 and 701,162.89

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Solution

The third proportional to 451,373.45 and 701,162.89 is: 1,089,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,373.45 : 701,162.89 = 701,162.89 : x
  2. Step 2: Convert to fraction form
    451,373.45/701,162.89 = 701,162.89/x
  3. Step 3: Cross multiply
    451,373.45x = 701,162.89 × 701,162.89
  4. Step 4: Simplify right side
    451,373.45x = 491,629,404,667.44
  5. Step 5: Solve for x
    x = 491,629,404,667.44/451,373.45
  6. Step 6: Final answer
    x = 1,089,185.47

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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.