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Finding the Third Proportional to 215,232.38 and 469,217.44

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Solution

The third proportional to 215,232.38 and 469,217.44 is: 1,022,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,232.38 : 469,217.44 = 469,217.44 : x
  2. Step 2: Convert to fraction form
    215,232.38/469,217.44 = 469,217.44/x
  3. Step 3: Cross multiply
    215,232.38x = 469,217.44 × 469,217.44
  4. Step 4: Simplify right side
    215,232.38x = 220,165,003,654.07
  5. Step 5: Solve for x
    x = 220,165,003,654.07/215,232.38
  6. Step 6: Final answer
    x = 1,022,917.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.