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Finding the Third Proportional to 235,947 and 511,251

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Solution

The third proportional to 235,947 and 511,251 is: 1,107,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,947 : 511,251 = 511,251 : x
  2. Step 2: Convert to fraction form
    235,947/511,251 = 511,251/x
  3. Step 3: Cross multiply
    235,947x = 511,251 × 511,251
  4. Step 4: Simplify right side
    235,947x = 261,377,585,001
  5. Step 5: Solve for x
    x = 261,377,585,001/235,947
  6. Step 6: Final answer
    x = 1,107,780.92

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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.