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Finding the Third Proportional to 244,424.25 and 511,170.75

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Solution

The third proportional to 244,424.25 and 511,170.75 is: 1,069,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,424.25 : 511,170.75 = 511,170.75 : x
  2. Step 2: Convert to fraction form
    244,424.25/511,170.75 = 511,170.75/x
  3. Step 3: Cross multiply
    244,424.25x = 511,170.75 × 511,170.75
  4. Step 4: Simplify right side
    244,424.25x = 261,295,535,655.56
  5. Step 5: Solve for x
    x = 261,295,535,655.56/244,424.25
  6. Step 6: Final answer
    x = 1,069,024.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.