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Finding the Third Proportional to 339,182 and 536,962

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Solution

The third proportional to 339,182 and 536,962 is: 850,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,182 : 536,962 = 536,962 : x
  2. Step 2: Convert to fraction form
    339,182/536,962 = 536,962/x
  3. Step 3: Cross multiply
    339,182x = 536,962 × 536,962
  4. Step 4: Simplify right side
    339,182x = 288,328,189,444
  5. Step 5: Solve for x
    x = 288,328,189,444/339,182
  6. Step 6: Final answer
    x = 850,069.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.