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Finding the Third Proportional to 189,578 and 438,881

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Solution

The third proportional to 189,578 and 438,881 is: 1,016,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,578 : 438,881 = 438,881 : x
  2. Step 2: Convert to fraction form
    189,578/438,881 = 438,881/x
  3. Step 3: Cross multiply
    189,578x = 438,881 × 438,881
  4. Step 4: Simplify right side
    189,578x = 192,616,532,161
  5. Step 5: Solve for x
    x = 192,616,532,161/189,578
  6. Step 6: Final answer
    x = 1,016,027.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.