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Finding the Third Proportional to 298,512 and 462,192

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Solution

The third proportional to 298,512 and 462,192 is: 715,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,512 : 462,192 = 462,192 : x
  2. Step 2: Convert to fraction form
    298,512/462,192 = 462,192/x
  3. Step 3: Cross multiply
    298,512x = 462,192 × 462,192
  4. Step 4: Simplify right side
    298,512x = 213,621,444,864
  5. Step 5: Solve for x
    x = 213,621,444,864/298,512
  6. Step 6: Final answer
    x = 715,620.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.