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Finding the Third Proportional to 232,848 and 509,286

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Solution

The third proportional to 232,848 and 509,286 is: 1,113,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,848 : 509,286 = 509,286 : x
  2. Step 2: Convert to fraction form
    232,848/509,286 = 509,286/x
  3. Step 3: Cross multiply
    232,848x = 509,286 × 509,286
  4. Step 4: Simplify right side
    232,848x = 259,372,229,796
  5. Step 5: Solve for x
    x = 259,372,229,796/232,848
  6. Step 6: Final answer
    x = 1,113,912.21

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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.