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Finding the Third Proportional to 230,424 and 501,238

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Solution

The third proportional to 230,424 and 501,238 is: 1,090,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,424 : 501,238 = 501,238 : x
  2. Step 2: Convert to fraction form
    230,424/501,238 = 501,238/x
  3. Step 3: Cross multiply
    230,424x = 501,238 × 501,238
  4. Step 4: Simplify right side
    230,424x = 251,239,532,644
  5. Step 5: Solve for x
    x = 251,239,532,644/230,424
  6. Step 6: Final answer
    x = 1,090,335.78

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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.