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Finding the Third Proportional to 235,959.75 and 511,285.50

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Solution

The third proportional to 235,959.75 and 511,285.50 is: 1,107,870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,959.75 : 511,285.50 = 511,285.50 : x
  2. Step 2: Convert to fraction form
    235,959.75/511,285.50 = 511,285.50/x
  3. Step 3: Cross multiply
    235,959.75x = 511,285.50 × 511,285.50
  4. Step 4: Simplify right side
    235,959.75x = 261,412,862,510.25
  5. Step 5: Solve for x
    x = 261,412,862,510.25/235,959.75
  6. Step 6: Final answer
    x = 1,107,870.57

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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.