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Finding the Third Proportional to 339,450.75 and 741,965.06

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Solution

The third proportional to 339,450.75 and 741,965.06 is: 1,621,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,450.75 : 741,965.06 = 741,965.06 : x
  2. Step 2: Convert to fraction form
    339,450.75/741,965.06 = 741,965.06/x
  3. Step 3: Cross multiply
    339,450.75x = 741,965.06 × 741,965.06
  4. Step 4: Simplify right side
    339,450.75x = 550,512,153,970.63
  5. Step 5: Solve for x
    x = 550,512,153,970.63/339,450.75
  6. Step 6: Final answer
    x = 1,621,773.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.