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Finding the Third Proportional to 235,956.38 and 511,278.75

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Solution

The third proportional to 235,956.38 and 511,278.75 is: 1,107,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,956.38 : 511,278.75 = 511,278.75 : x
  2. Step 2: Convert to fraction form
    235,956.38/511,278.75 = 511,278.75/x
  3. Step 3: Cross multiply
    235,956.38x = 511,278.75 × 511,278.75
  4. Step 4: Simplify right side
    235,956.38x = 261,405,960,201.56
  5. Step 5: Solve for x
    x = 261,405,960,201.56/235,956.38
  6. Step 6: Final answer
    x = 1,107,857.16

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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.