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Finding the Third Proportional to 304,016 and 467,976

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Solution

The third proportional to 304,016 and 467,976 is: 720,361.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,016 : 467,976 = 467,976 : x
  2. Step 2: Convert to fraction form
    304,016/467,976 = 467,976/x
  3. Step 3: Cross multiply
    304,016x = 467,976 × 467,976
  4. Step 4: Simplify right side
    304,016x = 219,001,536,576
  5. Step 5: Solve for x
    x = 219,001,536,576/304,016
  6. Step 6: Final answer
    x = 720,361.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.