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Finding the Third Proportional to 304,018 and 467,979

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Solution

The third proportional to 304,018 and 467,979 is: 720,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,018 : 467,979 = 467,979 : x
  2. Step 2: Convert to fraction form
    304,018/467,979 = 467,979/x
  3. Step 3: Cross multiply
    304,018x = 467,979 × 467,979
  4. Step 4: Simplify right side
    304,018x = 219,004,344,441
  5. Step 5: Solve for x
    x = 219,004,344,441/304,018
  6. Step 6: Final answer
    x = 720,366.37

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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.