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Finding the Third Proportional to 244,374.47 and 511,081.21

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Solution

The third proportional to 244,374.47 and 511,081.21 is: 1,068,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,374.47 : 511,081.21 = 511,081.21 : x
  2. Step 2: Convert to fraction form
    244,374.47/511,081.21 = 511,081.21/x
  3. Step 3: Cross multiply
    244,374.47x = 511,081.21 × 511,081.21
  4. Step 4: Simplify right side
    244,374.47x = 261,204,000,180.52
  5. Step 5: Solve for x
    x = 261,204,000,180.52/244,374.47
  6. Step 6: Final answer
    x = 1,068,867.80

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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.