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Finding the Third Proportional to 248,927 and 546,238

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Solution

The third proportional to 248,927 and 546,238 is: 1,198,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,927 : 546,238 = 546,238 : x
  2. Step 2: Convert to fraction form
    248,927/546,238 = 546,238/x
  3. Step 3: Cross multiply
    248,927x = 546,238 × 546,238
  4. Step 4: Simplify right side
    248,927x = 298,375,952,644
  5. Step 5: Solve for x
    x = 298,375,952,644/248,927
  6. Step 6: Final answer
    x = 1,198,648.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.