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Finding the Third Proportional to 257,944 and 394,328

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Solution

The third proportional to 257,944 and 394,328 is: 602,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,944 : 394,328 = 394,328 : x
  2. Step 2: Convert to fraction form
    257,944/394,328 = 394,328/x
  3. Step 3: Cross multiply
    257,944x = 394,328 × 394,328
  4. Step 4: Simplify right side
    257,944x = 155,494,571,584
  5. Step 5: Solve for x
    x = 155,494,571,584/257,944
  6. Step 6: Final answer
    x = 602,822.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.