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Finding the Third Proportional to 298,830 and 444,009

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Solution

The third proportional to 298,830 and 444,009 is: 659,719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,830 : 444,009 = 444,009 : x
  2. Step 2: Convert to fraction form
    298,830/444,009 = 444,009/x
  3. Step 3: Cross multiply
    298,830x = 444,009 × 444,009
  4. Step 4: Simplify right side
    298,830x = 197,143,992,081
  5. Step 5: Solve for x
    x = 197,143,992,081/298,830
  6. Step 6: Final answer
    x = 659,719.55

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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.