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Finding the Third Proportional to 236,062 and 511,502

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Solution

The third proportional to 236,062 and 511,502 is: 1,108,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,062 : 511,502 = 511,502 : x
  2. Step 2: Convert to fraction form
    236,062/511,502 = 511,502/x
  3. Step 3: Cross multiply
    236,062x = 511,502 × 511,502
  4. Step 4: Simplify right side
    236,062x = 261,634,296,004
  5. Step 5: Solve for x
    x = 261,634,296,004/236,062
  6. Step 6: Final answer
    x = 1,108,328.73

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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.