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Finding the Third Proportional to 263,188 and 578,848

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Solution

The third proportional to 263,188 and 578,848 is: 1,273,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,188 : 578,848 = 578,848 : x
  2. Step 2: Convert to fraction form
    263,188/578,848 = 578,848/x
  3. Step 3: Cross multiply
    263,188x = 578,848 × 578,848
  4. Step 4: Simplify right side
    263,188x = 335,065,007,104
  5. Step 5: Solve for x
    x = 335,065,007,104/263,188
  6. Step 6: Final answer
    x = 1,273,101.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.