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Finding the Third Proportional to 307,003.50 and 629,208

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Solution

The third proportional to 307,003.50 and 629,208 is: 1,289,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,003.50 : 629,208 = 629,208 : x
  2. Step 2: Convert to fraction form
    307,003.50/629,208 = 629,208/x
  3. Step 3: Cross multiply
    307,003.50x = 629,208 × 629,208
  4. Step 4: Simplify right side
    307,003.50x = 395,902,707,264
  5. Step 5: Solve for x
    x = 395,902,707,264/307,003.50
  6. Step 6: Final answer
    x = 1,289,570.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.