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Finding the Third Proportional to 244,379 and 511,090

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Solution

The third proportional to 244,379 and 511,090 is: 1,068,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,379 : 511,090 = 511,090 : x
  2. Step 2: Convert to fraction form
    244,379/511,090 = 511,090/x
  3. Step 3: Cross multiply
    244,379x = 511,090 × 511,090
  4. Step 4: Simplify right side
    244,379x = 261,212,988,100
  5. Step 5: Solve for x
    x = 261,212,988,100/244,379
  6. Step 6: Final answer
    x = 1,068,884.76

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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.