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Finding the Third Proportional to 394,958 and 595,916

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Solution

The third proportional to 394,958 and 595,916 is: 899,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,958 : 595,916 = 595,916 : x
  2. Step 2: Convert to fraction form
    394,958/595,916 = 595,916/x
  3. Step 3: Cross multiply
    394,958x = 595,916 × 595,916
  4. Step 4: Simplify right side
    394,958x = 355,115,879,056
  5. Step 5: Solve for x
    x = 355,115,879,056/394,958
  6. Step 6: Final answer
    x = 899,123.14

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