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Finding the Third Proportional to 298,968 and 444,194

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Solution

The third proportional to 298,968 and 444,194 is: 659,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,968 : 444,194 = 444,194 : x
  2. Step 2: Convert to fraction form
    298,968/444,194 = 444,194/x
  3. Step 3: Cross multiply
    298,968x = 444,194 × 444,194
  4. Step 4: Simplify right side
    298,968x = 197,308,309,636
  5. Step 5: Solve for x
    x = 197,308,309,636/298,968
  6. Step 6: Final answer
    x = 659,964.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.