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Finding the Third Proportional to 236,026 and 511,436

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Solution

The third proportional to 236,026 and 511,436 is: 1,108,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,026 : 511,436 = 511,436 : x
  2. Step 2: Convert to fraction form
    236,026/511,436 = 511,436/x
  3. Step 3: Cross multiply
    236,026x = 511,436 × 511,436
  4. Step 4: Simplify right side
    236,026x = 261,566,782,096
  5. Step 5: Solve for x
    x = 261,566,782,096/236,026
  6. Step 6: Final answer
    x = 1,108,211.73

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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.