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Finding the Third Proportional to 236,918 and 511,770

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Solution

The third proportional to 236,918 and 511,770 is: 1,105,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,918 : 511,770 = 511,770 : x
  2. Step 2: Convert to fraction form
    236,918/511,770 = 511,770/x
  3. Step 3: Cross multiply
    236,918x = 511,770 × 511,770
  4. Step 4: Simplify right side
    236,918x = 261,908,532,900
  5. Step 5: Solve for x
    x = 261,908,532,900/236,918
  6. Step 6: Final answer
    x = 1,105,481.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.