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Finding the Third Proportional to 233,886 and 512,286

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Solution

The third proportional to 233,886 and 512,286 is: 1,122,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,886 : 512,286 = 512,286 : x
  2. Step 2: Convert to fraction form
    233,886/512,286 = 512,286/x
  3. Step 3: Cross multiply
    233,886x = 512,286 × 512,286
  4. Step 4: Simplify right side
    233,886x = 262,436,945,796
  5. Step 5: Solve for x
    x = 262,436,945,796/233,886
  6. Step 6: Final answer
    x = 1,122,072.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.