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Finding the Third Proportional to 233,313.75 and 511,818.75

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Solution

The third proportional to 233,313.75 and 511,818.75 is: 1,122,773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,313.75 : 511,818.75 = 511,818.75 : x
  2. Step 2: Convert to fraction form
    233,313.75/511,818.75 = 511,818.75/x
  3. Step 3: Cross multiply
    233,313.75x = 511,818.75 × 511,818.75
  4. Step 4: Simplify right side
    233,313.75x = 261,958,432,851.56
  5. Step 5: Solve for x
    x = 261,958,432,851.56/233,313.75
  6. Step 6: Final answer
    x = 1,122,773.23

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