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Finding the Third Proportional to 246,078 and 377,244

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Solution

The third proportional to 246,078 and 377,244 is: 578,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,078 : 377,244 = 377,244 : x
  2. Step 2: Convert to fraction form
    246,078/377,244 = 377,244/x
  3. Step 3: Cross multiply
    246,078x = 377,244 × 377,244
  4. Step 4: Simplify right side
    246,078x = 142,313,035,536
  5. Step 5: Solve for x
    x = 142,313,035,536/246,078
  6. Step 6: Final answer
    x = 578,324.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.