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Finding the Third Proportional to 199,048 and 437,456

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Solution

The third proportional to 199,048 and 437,456 is: 961,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,048 : 437,456 = 437,456 : x
  2. Step 2: Convert to fraction form
    199,048/437,456 = 437,456/x
  3. Step 3: Cross multiply
    199,048x = 437,456 × 437,456
  4. Step 4: Simplify right side
    199,048x = 191,367,751,936
  5. Step 5: Solve for x
    x = 191,367,751,936/199,048
  6. Step 6: Final answer
    x = 961,415.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.