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Finding the Third Proportional to 246,936 and 380,663

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Solution

The third proportional to 246,936 and 380,663 is: 586,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,936 : 380,663 = 380,663 : x
  2. Step 2: Convert to fraction form
    246,936/380,663 = 380,663/x
  3. Step 3: Cross multiply
    246,936x = 380,663 × 380,663
  4. Step 4: Simplify right side
    246,936x = 144,904,319,569
  5. Step 5: Solve for x
    x = 144,904,319,569/246,936
  6. Step 6: Final answer
    x = 586,809.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.