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Finding the Third Proportional to 289,992 and 638,848

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Solution

The third proportional to 289,992 and 638,848 is: 1,407,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,992 : 638,848 = 638,848 : x
  2. Step 2: Convert to fraction form
    289,992/638,848 = 638,848/x
  3. Step 3: Cross multiply
    289,992x = 638,848 × 638,848
  4. Step 4: Simplify right side
    289,992x = 408,126,767,104
  5. Step 5: Solve for x
    x = 408,126,767,104/289,992
  6. Step 6: Final answer
    x = 1,407,372.50

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