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Finding the Third Proportional to 449,201.75 and 973,096.75

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Solution

The third proportional to 449,201.75 and 973,096.75 is: 2,107,999.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,201.75 : 973,096.75 = 973,096.75 : x
  2. Step 2: Convert to fraction form
    449,201.75/973,096.75 = 973,096.75/x
  3. Step 3: Cross multiply
    449,201.75x = 973,096.75 × 973,096.75
  4. Step 4: Simplify right side
    449,201.75x = 946,917,284,860.56
  5. Step 5: Solve for x
    x = 946,917,284,860.56/449,201.75
  6. Step 6: Final answer
    x = 2,107,999.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.