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Finding the Third Proportional to 250,640 and 541,230

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Solution

The third proportional to 250,640 and 541,230 is: 1,168,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,640 : 541,230 = 541,230 : x
  2. Step 2: Convert to fraction form
    250,640/541,230 = 541,230/x
  3. Step 3: Cross multiply
    250,640x = 541,230 × 541,230
  4. Step 4: Simplify right side
    250,640x = 292,929,912,900
  5. Step 5: Solve for x
    x = 292,929,912,900/250,640
  6. Step 6: Final answer
    x = 1,168,727.71

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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.