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Finding the Third Proportional to 274,349 and 416,384

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Solution

The third proportional to 274,349 and 416,384 is: 631,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,349 : 416,384 = 416,384 : x
  2. Step 2: Convert to fraction form
    274,349/416,384 = 416,384/x
  3. Step 3: Cross multiply
    274,349x = 416,384 × 416,384
  4. Step 4: Simplify right side
    274,349x = 173,375,635,456
  5. Step 5: Solve for x
    x = 173,375,635,456/274,349
  6. Step 6: Final answer
    x = 631,952.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.