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Finding the Third Proportional to 274,377 and 412,296

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Solution

The third proportional to 274,377 and 412,296 is: 619,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,377 : 412,296 = 412,296 : x
  2. Step 2: Convert to fraction form
    274,377/412,296 = 412,296/x
  3. Step 3: Cross multiply
    274,377x = 412,296 × 412,296
  4. Step 4: Simplify right side
    274,377x = 169,987,991,616
  5. Step 5: Solve for x
    x = 169,987,991,616/274,377
  6. Step 6: Final answer
    x = 619,541.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.