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Finding the Third Proportional to 312,741 and 503,556.75

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Solution

The third proportional to 312,741 and 503,556.75 is: 810,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,741 : 503,556.75 = 503,556.75 : x
  2. Step 2: Convert to fraction form
    312,741/503,556.75 = 503,556.75/x
  3. Step 3: Cross multiply
    312,741x = 503,556.75 × 503,556.75
  4. Step 4: Simplify right side
    312,741x = 253,569,400,470.56
  5. Step 5: Solve for x
    x = 253,569,400,470.56/312,741
  6. Step 6: Final answer
    x = 810,796.80

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.