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Finding the Third Proportional to 202,612.31 and 440,900.63

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Solution

The third proportional to 202,612.31 and 440,900.63 is: 959,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,612.31 : 440,900.63 = 440,900.63 : x
  2. Step 2: Convert to fraction form
    202,612.31/440,900.63 = 440,900.63/x
  3. Step 3: Cross multiply
    202,612.31x = 440,900.63 × 440,900.63
  4. Step 4: Simplify right side
    202,612.31x = 194,393,361,125.39
  5. Step 5: Solve for x
    x = 194,393,361,125.39/202,612.31
  6. Step 6: Final answer
    x = 959,435.08

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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.