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Finding the Third Proportional to 202,028.06 and 441,918.56

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Solution

The third proportional to 202,028.06 and 441,918.56 is: 966,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,028.06 : 441,918.56 = 441,918.56 : x
  2. Step 2: Convert to fraction form
    202,028.06/441,918.56 = 441,918.56/x
  3. Step 3: Cross multiply
    202,028.06x = 441,918.56 × 441,918.56
  4. Step 4: Simplify right side
    202,028.06x = 195,292,015,882.07
  5. Step 5: Solve for x
    x = 195,292,015,882.07/202,028.06
  6. Step 6: Final answer
    x = 966,657.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.