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Finding the Third Proportional to 429,679.69 and 945,163.69

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Solution

The third proportional to 429,679.69 and 945,163.69 is: 2,079,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,679.69 : 945,163.69 = 945,163.69 : x
  2. Step 2: Convert to fraction form
    429,679.69/945,163.69 = 945,163.69/x
  3. Step 3: Cross multiply
    429,679.69x = 945,163.69 × 945,163.69
  4. Step 4: Simplify right side
    429,679.69x = 893,334,396,168.60
  5. Step 5: Solve for x
    x = 893,334,396,168.60/429,679.69
  6. Step 6: Final answer
    x = 2,079,070.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.