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Finding the Third Proportional to 257,575 and 394,012

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Solution

The third proportional to 257,575 and 394,012 is: 602,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,575 : 394,012 = 394,012 : x
  2. Step 2: Convert to fraction form
    257,575/394,012 = 394,012/x
  3. Step 3: Cross multiply
    257,575x = 394,012 × 394,012
  4. Step 4: Simplify right side
    257,575x = 155,245,456,144
  5. Step 5: Solve for x
    x = 155,245,456,144/257,575
  6. Step 6: Final answer
    x = 602,719.43

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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.