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Finding the Third Proportional to 394,958 and 595,913

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Solution

The third proportional to 394,958 and 595,913 is: 899,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,958 : 595,913 = 595,913 : x
  2. Step 2: Convert to fraction form
    394,958/595,913 = 595,913/x
  3. Step 3: Cross multiply
    394,958x = 595,913 × 595,913
  4. Step 4: Simplify right side
    394,958x = 355,112,303,569
  5. Step 5: Solve for x
    x = 355,112,303,569/394,958
  6. Step 6: Final answer
    x = 899,114.09

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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.