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Finding the Third Proportional to 394,418 and 601,851

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Solution

The third proportional to 394,418 and 601,851 is: 918,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,418 : 601,851 = 601,851 : x
  2. Step 2: Convert to fraction form
    394,418/601,851 = 601,851/x
  3. Step 3: Cross multiply
    394,418x = 601,851 × 601,851
  4. Step 4: Simplify right side
    394,418x = 362,224,626,201
  5. Step 5: Solve for x
    x = 362,224,626,201/394,418
  6. Step 6: Final answer
    x = 918,377.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.