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Finding the Third Proportional to 250,674 and 541,293

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Solution

The third proportional to 250,674 and 541,293 is: 1,168,841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,674 : 541,293 = 541,293 : x
  2. Step 2: Convert to fraction form
    250,674/541,293 = 541,293/x
  3. Step 3: Cross multiply
    250,674x = 541,293 × 541,293
  4. Step 4: Simplify right side
    250,674x = 292,998,111,849
  5. Step 5: Solve for x
    x = 292,998,111,849/250,674
  6. Step 6: Final answer
    x = 1,168,841.25

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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.