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Finding the Third Proportional to 257,874 and 394,224

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Solution

The third proportional to 257,874 and 394,224 is: 602,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,874 : 394,224 = 394,224 : x
  2. Step 2: Convert to fraction form
    257,874/394,224 = 394,224/x
  3. Step 3: Cross multiply
    257,874x = 394,224 × 394,224
  4. Step 4: Simplify right side
    257,874x = 155,412,562,176
  5. Step 5: Solve for x
    x = 155,412,562,176/257,874
  6. Step 6: Final answer
    x = 602,668.60

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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.