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Finding the Third Proportional to 246,753 and 538,137

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Solution

The third proportional to 246,753 and 538,137 is: 1,173,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,753 : 538,137 = 538,137 : x
  2. Step 2: Convert to fraction form
    246,753/538,137 = 538,137/x
  3. Step 3: Cross multiply
    246,753x = 538,137 × 538,137
  4. Step 4: Simplify right side
    246,753x = 289,591,430,769
  5. Step 5: Solve for x
    x = 289,591,430,769/246,753
  6. Step 6: Final answer
    x = 1,173,608.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.