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Finding the Third Proportional to 236,947 and 511,823

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Solution

The third proportional to 236,947 and 511,823 is: 1,105,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,947 : 511,823 = 511,823 : x
  2. Step 2: Convert to fraction form
    236,947/511,823 = 511,823/x
  3. Step 3: Cross multiply
    236,947x = 511,823 × 511,823
  4. Step 4: Simplify right side
    236,947x = 261,962,783,329
  5. Step 5: Solve for x
    x = 261,962,783,329/236,947
  6. Step 6: Final answer
    x = 1,105,575.44

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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.