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Finding the Third Proportional to 236,896 and 511,722

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Solution

The third proportional to 236,896 and 511,722 is: 1,105,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,896 : 511,722 = 511,722 : x
  2. Step 2: Convert to fraction form
    236,896/511,722 = 511,722/x
  3. Step 3: Cross multiply
    236,896x = 511,722 × 511,722
  4. Step 4: Simplify right side
    236,896x = 261,859,405,284
  5. Step 5: Solve for x
    x = 261,859,405,284/236,896
  6. Step 6: Final answer
    x = 1,105,377.07

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Why These Related Problems?

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