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Finding the Third Proportional to 251,287 and 541,940

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Solution

The third proportional to 251,287 and 541,940 is: 1,168,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,287 : 541,940 = 541,940 : x
  2. Step 2: Convert to fraction form
    251,287/541,940 = 541,940/x
  3. Step 3: Cross multiply
    251,287x = 541,940 × 541,940
  4. Step 4: Simplify right side
    251,287x = 293,698,963,600
  5. Step 5: Solve for x
    x = 293,698,963,600/251,287
  6. Step 6: Final answer
    x = 1,168,778.98

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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.