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Finding the Third Proportional to 394,932 and 595,893

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Solution

The third proportional to 394,932 and 595,893 is: 899,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,932 : 595,893 = 595,893 : x
  2. Step 2: Convert to fraction form
    394,932/595,893 = 595,893/x
  3. Step 3: Cross multiply
    394,932x = 595,893 × 595,893
  4. Step 4: Simplify right side
    394,932x = 355,088,467,449
  5. Step 5: Solve for x
    x = 355,088,467,449/394,932
  6. Step 6: Final answer
    x = 899,112.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.