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Finding the Third Proportional to 244,391 and 511,127

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Solution

The third proportional to 244,391 and 511,127 is: 1,068,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,391 : 511,127 = 511,127 : x
  2. Step 2: Convert to fraction form
    244,391/511,127 = 511,127/x
  3. Step 3: Cross multiply
    244,391x = 511,127 × 511,127
  4. Step 4: Simplify right side
    244,391x = 261,250,810,129
  5. Step 5: Solve for x
    x = 261,250,810,129/244,391
  6. Step 6: Final answer
    x = 1,068,987.03

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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.