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Finding the Third Proportional to 451,374.47 and 701,163.84

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Solution

The third proportional to 451,374.47 and 701,163.84 is: 1,089,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,374.47 : 701,163.84 = 701,163.84 : x
  2. Step 2: Convert to fraction form
    451,374.47/701,163.84 = 701,163.84/x
  3. Step 3: Cross multiply
    451,374.47x = 701,163.84 × 701,163.84
  4. Step 4: Simplify right side
    451,374.47x = 491,630,735,782.27
  5. Step 5: Solve for x
    x = 491,630,735,782.27/451,374.47
  6. Step 6: Final answer
    x = 1,089,185.96

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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.