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Finding the Third Proportional to 250,646 and 541,243

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Solution

The third proportional to 250,646 and 541,243 is: 1,168,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,646 : 541,243 = 541,243 : x
  2. Step 2: Convert to fraction form
    250,646/541,243 = 541,243/x
  3. Step 3: Cross multiply
    250,646x = 541,243 × 541,243
  4. Step 4: Simplify right side
    250,646x = 292,943,985,049
  5. Step 5: Solve for x
    x = 292,943,985,049/250,646
  6. Step 6: Final answer
    x = 1,168,755.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.