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Finding the Third Proportional to 257,608 and 394,096

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Solution

The third proportional to 257,608 and 394,096 is: 602,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,608 : 394,096 = 394,096 : x
  2. Step 2: Convert to fraction form
    257,608/394,096 = 394,096/x
  3. Step 3: Cross multiply
    257,608x = 394,096 × 394,096
  4. Step 4: Simplify right side
    257,608x = 155,311,657,216
  5. Step 5: Solve for x
    x = 155,311,657,216/257,608
  6. Step 6: Final answer
    x = 602,899.20

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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.