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Finding the Third Proportional to 236,068 and 511,512

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Solution

The third proportional to 236,068 and 511,512 is: 1,108,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,068 : 511,512 = 511,512 : x
  2. Step 2: Convert to fraction form
    236,068/511,512 = 511,512/x
  3. Step 3: Cross multiply
    236,068x = 511,512 × 511,512
  4. Step 4: Simplify right side
    236,068x = 261,644,526,144
  5. Step 5: Solve for x
    x = 261,644,526,144/236,068
  6. Step 6: Final answer
    x = 1,108,343.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.