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Finding the Third Proportional to 257,544 and 393,974

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Solution

The third proportional to 257,544 and 393,974 is: 602,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,544 : 393,974 = 393,974 : x
  2. Step 2: Convert to fraction form
    257,544/393,974 = 393,974/x
  3. Step 3: Cross multiply
    257,544x = 393,974 × 393,974
  4. Step 4: Simplify right side
    257,544x = 155,215,512,676
  5. Step 5: Solve for x
    x = 155,215,512,676/257,544
  6. Step 6: Final answer
    x = 602,675.71

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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.