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Finding the Third Proportional to 244,488 and 511,170

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Solution

The third proportional to 244,488 and 511,170 is: 1,068,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,488 : 511,170 = 511,170 : x
  2. Step 2: Convert to fraction form
    244,488/511,170 = 511,170/x
  3. Step 3: Cross multiply
    244,488x = 511,170 × 511,170
  4. Step 4: Simplify right side
    244,488x = 261,294,768,900
  5. Step 5: Solve for x
    x = 261,294,768,900/244,488
  6. Step 6: Final answer
    x = 1,068,742.71

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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.