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Finding the Third Proportional to 298,836 and 444,020

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Solution

The third proportional to 298,836 and 444,020 is: 659,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,836 : 444,020 = 444,020 : x
  2. Step 2: Convert to fraction form
    298,836/444,020 = 444,020/x
  3. Step 3: Cross multiply
    298,836x = 444,020 × 444,020
  4. Step 4: Simplify right side
    298,836x = 197,153,760,400
  5. Step 5: Solve for x
    x = 197,153,760,400/298,836
  6. Step 6: Final answer
    x = 659,738.99

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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.