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Finding the Third Proportional to 244,378.50 and 511,089

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Solution

The third proportional to 244,378.50 and 511,089 is: 1,068,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,378.50 : 511,089 = 511,089 : x
  2. Step 2: Convert to fraction form
    244,378.50/511,089 = 511,089/x
  3. Step 3: Cross multiply
    244,378.50x = 511,089 × 511,089
  4. Step 4: Simplify right side
    244,378.50x = 261,211,965,921
  5. Step 5: Solve for x
    x = 261,211,965,921/244,378.50
  6. Step 6: Final answer
    x = 1,068,882.76

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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.