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Finding the Third Proportional to 236,286 and 511,938

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Solution

The third proportional to 236,286 and 511,938 is: 1,109,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,286 : 511,938 = 511,938 : x
  2. Step 2: Convert to fraction form
    236,286/511,938 = 511,938/x
  3. Step 3: Cross multiply
    236,286x = 511,938 × 511,938
  4. Step 4: Simplify right side
    236,286x = 262,080,515,844
  5. Step 5: Solve for x
    x = 262,080,515,844/236,286
  6. Step 6: Final answer
    x = 1,109,166.50

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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.