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Finding the Third Proportional to 214,481.20 and 462,205.93

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Solution

The third proportional to 214,481.20 and 462,205.93 is: 996,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,481.20 : 462,205.93 = 462,205.93 : x
  2. Step 2: Convert to fraction form
    214,481.20/462,205.93 = 462,205.93/x
  3. Step 3: Cross multiply
    214,481.20x = 462,205.93 × 462,205.93
  4. Step 4: Simplify right side
    214,481.20x = 213,634,325,049.27
  5. Step 5: Solve for x
    x = 213,634,325,049.27/214,481.20
  6. Step 6: Final answer
    x = 996,051.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.