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Finding the Third Proportional to 339,992 and 460,062

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Solution

The third proportional to 339,992 and 460,062 is: 622,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,992 : 460,062 = 460,062 : x
  2. Step 2: Convert to fraction form
    339,992/460,062 = 460,062/x
  3. Step 3: Cross multiply
    339,992x = 460,062 × 460,062
  4. Step 4: Simplify right side
    339,992x = 211,657,043,844
  5. Step 5: Solve for x
    x = 211,657,043,844/339,992
  6. Step 6: Final answer
    x = 622,535.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.