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Finding the Third Proportional to 237,228.75 and 511,824.38

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Solution

The third proportional to 237,228.75 and 511,824.38 is: 1,104,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,228.75 : 511,824.38 = 511,824.38 : x
  2. Step 2: Convert to fraction form
    237,228.75/511,824.38 = 511,824.38/x
  3. Step 3: Cross multiply
    237,228.75x = 511,824.38 × 511,824.38
  4. Step 4: Simplify right side
    237,228.75x = 261,964,190,844.14
  5. Step 5: Solve for x
    x = 261,964,190,844.14/237,228.75
  6. Step 6: Final answer
    x = 1,104,268.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.