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Finding the Third Proportional to 236,220.05 and 511,806.09

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Solution

The third proportional to 236,220.05 and 511,806.09 is: 1,108,904.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,220.05 : 511,806.09 = 511,806.09 : x
  2. Step 2: Convert to fraction form
    236,220.05/511,806.09 = 511,806.09/x
  3. Step 3: Cross multiply
    236,220.05x = 511,806.09 × 511,806.09
  4. Step 4: Simplify right side
    236,220.05x = 261,945,477,599.63
  5. Step 5: Solve for x
    x = 261,945,477,599.63/236,220.05
  6. Step 6: Final answer
    x = 1,108,904.52

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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.