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Finding the Third Proportional to 274,734 and 472,213.13

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Solution

The third proportional to 274,734 and 472,213.13 is: 811,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,734 : 472,213.13 = 472,213.13 : x
  2. Step 2: Convert to fraction form
    274,734/472,213.13 = 472,213.13/x
  3. Step 3: Cross multiply
    274,734x = 472,213.13 × 472,213.13
  4. Step 4: Simplify right side
    274,734x = 222,985,235,422.27
  5. Step 5: Solve for x
    x = 222,985,235,422.27/274,734
  6. Step 6: Final answer
    x = 811,640.48

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.