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Finding the Third Proportional to 253,009.50 and 395,067

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Solution

The third proportional to 253,009.50 and 395,067 is: 616,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,009.50 : 395,067 = 395,067 : x
  2. Step 2: Convert to fraction form
    253,009.50/395,067 = 395,067/x
  3. Step 3: Cross multiply
    253,009.50x = 395,067 × 395,067
  4. Step 4: Simplify right side
    253,009.50x = 156,077,934,489
  5. Step 5: Solve for x
    x = 156,077,934,489/253,009.50
  6. Step 6: Final answer
    x = 616,885.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.