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Finding the Third Proportional to 230,976 and 480,308

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Solution

The third proportional to 230,976 and 480,308 is: 998,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,976 : 480,308 = 480,308 : x
  2. Step 2: Convert to fraction form
    230,976/480,308 = 480,308/x
  3. Step 3: Cross multiply
    230,976x = 480,308 × 480,308
  4. Step 4: Simplify right side
    230,976x = 230,695,774,864
  5. Step 5: Solve for x
    x = 230,695,774,864/230,976
  6. Step 6: Final answer
    x = 998,786.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.