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Finding the Third Proportional to 199,089 and 437,544

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Solution

The third proportional to 199,089 and 437,544 is: 961,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,089 : 437,544 = 437,544 : x
  2. Step 2: Convert to fraction form
    199,089/437,544 = 437,544/x
  3. Step 3: Cross multiply
    199,089x = 437,544 × 437,544
  4. Step 4: Simplify right side
    199,089x = 191,444,751,936
  5. Step 5: Solve for x
    x = 191,444,751,936/199,089
  6. Step 6: Final answer
    x = 961,603.87

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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.