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Finding the Third Proportional to 199,596 and 444,240

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Solution

The third proportional to 199,596 and 444,240 is: 988,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,596 : 444,240 = 444,240 : x
  2. Step 2: Convert to fraction form
    199,596/444,240 = 444,240/x
  3. Step 3: Cross multiply
    199,596x = 444,240 × 444,240
  4. Step 4: Simplify right side
    199,596x = 197,349,177,600
  5. Step 5: Solve for x
    x = 197,349,177,600/199,596
  6. Step 6: Final answer
    x = 988,743.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.