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Finding the Third Proportional to 339,441.75 and 467,583.75

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Solution

The third proportional to 339,441.75 and 467,583.75 is: 644,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,441.75 : 467,583.75 = 467,583.75 : x
  2. Step 2: Convert to fraction form
    339,441.75/467,583.75 = 467,583.75/x
  3. Step 3: Cross multiply
    339,441.75x = 467,583.75 × 467,583.75
  4. Step 4: Simplify right side
    339,441.75x = 218,634,563,264.06
  5. Step 5: Solve for x
    x = 218,634,563,264.06/339,441.75
  6. Step 6: Final answer
    x = 644,100.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.