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Finding the Third Proportional to 232,227 and 509,247

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Solution

The third proportional to 232,227 and 509,247 is: 1,116,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,227 : 509,247 = 509,247 : x
  2. Step 2: Convert to fraction form
    232,227/509,247 = 509,247/x
  3. Step 3: Cross multiply
    232,227x = 509,247 × 509,247
  4. Step 4: Simplify right side
    232,227x = 259,332,507,009
  5. Step 5: Solve for x
    x = 259,332,507,009/232,227
  6. Step 6: Final answer
    x = 1,116,719.88

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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.