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Finding the Third Proportional to 304,906.50 and 446,424.75

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Solution

The third proportional to 304,906.50 and 446,424.75 is: 653,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,906.50 : 446,424.75 = 446,424.75 : x
  2. Step 2: Convert to fraction form
    304,906.50/446,424.75 = 446,424.75/x
  3. Step 3: Cross multiply
    304,906.50x = 446,424.75 × 446,424.75
  4. Step 4: Simplify right side
    304,906.50x = 199,295,057,412.56
  5. Step 5: Solve for x
    x = 199,295,057,412.56/304,906.50
  6. Step 6: Final answer
    x = 653,626.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.