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Finding the Third Proportional to 246,372 and 523,848

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Solution

The third proportional to 246,372 and 523,848 is: 1,113,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,372 : 523,848 = 523,848 : x
  2. Step 2: Convert to fraction form
    246,372/523,848 = 523,848/x
  3. Step 3: Cross multiply
    246,372x = 523,848 × 523,848
  4. Step 4: Simplify right side
    246,372x = 274,416,727,104
  5. Step 5: Solve for x
    x = 274,416,727,104/246,372
  6. Step 6: Final answer
    x = 1,113,830.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.