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Finding the Third Proportional to 394,161.75 and 601,085.25

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Solution

The third proportional to 394,161.75 and 601,085.25 is: 916,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,161.75 : 601,085.25 = 601,085.25 : x
  2. Step 2: Convert to fraction form
    394,161.75/601,085.25 = 601,085.25/x
  3. Step 3: Cross multiply
    394,161.75x = 601,085.25 × 601,085.25
  4. Step 4: Simplify right side
    394,161.75x = 361,303,477,767.56
  5. Step 5: Solve for x
    x = 361,303,477,767.56/394,161.75
  6. Step 6: Final answer
    x = 916,637.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.