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Finding the Third Proportional to 513,110.25 and 804,912.75

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Solution

The third proportional to 513,110.25 and 804,912.75 is: 1,262,661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,110.25 : 804,912.75 = 804,912.75 : x
  2. Step 2: Convert to fraction form
    513,110.25/804,912.75 = 804,912.75/x
  3. Step 3: Cross multiply
    513,110.25x = 804,912.75 × 804,912.75
  4. Step 4: Simplify right side
    513,110.25x = 647,884,535,112.56
  5. Step 5: Solve for x
    x = 647,884,535,112.56/513,110.25
  6. Step 6: Final answer
    x = 1,262,661.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.