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Finding the Third Proportional to 246,856 and 349,494

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Solution

The third proportional to 246,856 and 349,494 is: 494,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,856 : 349,494 = 349,494 : x
  2. Step 2: Convert to fraction form
    246,856/349,494 = 349,494/x
  3. Step 3: Cross multiply
    246,856x = 349,494 × 349,494
  4. Step 4: Simplify right side
    246,856x = 122,146,056,036
  5. Step 5: Solve for x
    x = 122,146,056,036/246,856
  6. Step 6: Final answer
    x = 494,806.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.