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Finding the Third Proportional to 246,854 and 349,491

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Solution

The third proportional to 246,854 and 349,491 is: 494,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,854 : 349,491 = 349,491 : x
  2. Step 2: Convert to fraction form
    246,854/349,491 = 349,491/x
  3. Step 3: Cross multiply
    246,854x = 349,491 × 349,491
  4. Step 4: Simplify right side
    246,854x = 122,143,959,081
  5. Step 5: Solve for x
    x = 122,143,959,081/246,854
  6. Step 6: Final answer
    x = 494,802.43

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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.