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Finding the Third Proportional to 298,940 and 444,152

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Solution

The third proportional to 298,940 and 444,152 is: 659,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,940 : 444,152 = 444,152 : x
  2. Step 2: Convert to fraction form
    298,940/444,152 = 444,152/x
  3. Step 3: Cross multiply
    298,940x = 444,152 × 444,152
  4. Step 4: Simplify right side
    298,940x = 197,270,999,104
  5. Step 5: Solve for x
    x = 197,270,999,104/298,940
  6. Step 6: Final answer
    x = 659,901.65

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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.