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Finding the Third Proportional to 339,401.25 and 501,180.75

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Solution

The third proportional to 339,401.25 and 501,180.75 is: 740,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,401.25 : 501,180.75 = 501,180.75 : x
  2. Step 2: Convert to fraction form
    339,401.25/501,180.75 = 501,180.75/x
  3. Step 3: Cross multiply
    339,401.25x = 501,180.75 × 501,180.75
  4. Step 4: Simplify right side
    339,401.25x = 251,182,144,170.56
  5. Step 5: Solve for x
    x = 251,182,144,170.56/339,401.25
  6. Step 6: Final answer
    x = 740,074.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.