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Finding the Third Proportional to 257,879 and 394,230

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Solution

The third proportional to 257,879 and 394,230 is: 602,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,879 : 394,230 = 394,230 : x
  2. Step 2: Convert to fraction form
    257,879/394,230 = 394,230/x
  3. Step 3: Cross multiply
    257,879x = 394,230 × 394,230
  4. Step 4: Simplify right side
    257,879x = 155,417,292,900
  5. Step 5: Solve for x
    x = 155,417,292,900/257,879
  6. Step 6: Final answer
    x = 602,675.26

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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.