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Finding the Third Proportional to 246,096 and 518,112

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Solution

The third proportional to 246,096 and 518,112 is: 1,090,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,096 : 518,112 = 518,112 : x
  2. Step 2: Convert to fraction form
    246,096/518,112 = 518,112/x
  3. Step 3: Cross multiply
    246,096x = 518,112 × 518,112
  4. Step 4: Simplify right side
    246,096x = 268,440,044,544
  5. Step 5: Solve for x
    x = 268,440,044,544/246,096
  6. Step 6: Final answer
    x = 1,090,794.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.