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Finding the Third Proportional to 304,183 and 440,589

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Solution

The third proportional to 304,183 and 440,589 is: 638,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,183 : 440,589 = 440,589 : x
  2. Step 2: Convert to fraction form
    304,183/440,589 = 440,589/x
  3. Step 3: Cross multiply
    304,183x = 440,589 × 440,589
  4. Step 4: Simplify right side
    304,183x = 194,118,666,921
  5. Step 5: Solve for x
    x = 194,118,666,921/304,183
  6. Step 6: Final answer
    x = 638,164.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.