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Finding the Third Proportional to 257,862.38 and 394,206.75

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Solution

The third proportional to 257,862.38 and 394,206.75 is: 602,643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,862.38 : 394,206.75 = 394,206.75 : x
  2. Step 2: Convert to fraction form
    257,862.38/394,206.75 = 394,206.75/x
  3. Step 3: Cross multiply
    257,862.38x = 394,206.75 × 394,206.75
  4. Step 4: Simplify right side
    257,862.38x = 155,398,961,745.56
  5. Step 5: Solve for x
    x = 155,398,961,745.56/257,862.38
  6. Step 6: Final answer
    x = 602,643.03

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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.