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Finding the Third Proportional to 298,944 and 444,159

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Solution

The third proportional to 298,944 and 444,159 is: 659,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,944 : 444,159 = 444,159 : x
  2. Step 2: Convert to fraction form
    298,944/444,159 = 444,159/x
  3. Step 3: Cross multiply
    298,944x = 444,159 × 444,159
  4. Step 4: Simplify right side
    298,944x = 197,277,217,281
  5. Step 5: Solve for x
    x = 197,277,217,281/298,944
  6. Step 6: Final answer
    x = 659,913.62

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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.