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Finding the Third Proportional to 773,255.25 and 1,699,071.75

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Solution

The third proportional to 773,255.25 and 1,699,071.75 is: 3,733,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,255.25 : 1,699,071.75 = 1,699,071.75 : x
  2. Step 2: Convert to fraction form
    773,255.25/1,699,071.75 = 1,699,071.75/x
  3. Step 3: Cross multiply
    773,255.25x = 1,699,071.75 × 1,699,071.75
  4. Step 4: Simplify right side
    773,255.25x = 2,886,844,811,648.06
  5. Step 5: Solve for x
    x = 2,886,844,811,648.06/773,255.25
  6. Step 6: Final answer
    x = 3,733,365.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.