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Finding the Third Proportional to 344,019.75 and 777,231.75

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Solution

The third proportional to 344,019.75 and 777,231.75 is: 1,755,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,019.75 : 777,231.75 = 777,231.75 : x
  2. Step 2: Convert to fraction form
    344,019.75/777,231.75 = 777,231.75/x
  3. Step 3: Cross multiply
    344,019.75x = 777,231.75 × 777,231.75
  4. Step 4: Simplify right side
    344,019.75x = 604,089,193,208.06
  5. Step 5: Solve for x
    x = 604,089,193,208.06/344,019.75
  6. Step 6: Final answer
    x = 1,755,972.42

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.