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Finding the Third Proportional to 202,615.88 and 440,907.75

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Solution

The third proportional to 202,615.88 and 440,907.75 is: 959,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,615.88 : 440,907.75 = 440,907.75 : x
  2. Step 2: Convert to fraction form
    202,615.88/440,907.75 = 440,907.75/x
  3. Step 3: Cross multiply
    202,615.88x = 440,907.75 × 440,907.75
  4. Step 4: Simplify right side
    202,615.88x = 194,399,644,010.06
  5. Step 5: Solve for x
    x = 194,399,644,010.06/202,615.88
  6. Step 6: Final answer
    x = 959,449.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.