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Finding the Third Proportional to 298,911 and 444,131

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Solution

The third proportional to 298,911 and 444,131 is: 659,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,911 : 444,131 = 444,131 : x
  2. Step 2: Convert to fraction form
    298,911/444,131 = 444,131/x
  3. Step 3: Cross multiply
    298,911x = 444,131 × 444,131
  4. Step 4: Simplify right side
    298,911x = 197,252,345,161
  5. Step 5: Solve for x
    x = 197,252,345,161/298,911
  6. Step 6: Final answer
    x = 659,903.27

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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.