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Finding the Third Proportional to 246,738 and 538,097

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Solution

The third proportional to 246,738 and 538,097 is: 1,173,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,738 : 538,097 = 538,097 : x
  2. Step 2: Convert to fraction form
    246,738/538,097 = 538,097/x
  3. Step 3: Cross multiply
    246,738x = 538,097 × 538,097
  4. Step 4: Simplify right side
    246,738x = 289,548,381,409
  5. Step 5: Solve for x
    x = 289,548,381,409/246,738
  6. Step 6: Final answer
    x = 1,173,505.42

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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.