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Finding the Third Proportional to 214,083 and 441,126

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Solution

The third proportional to 214,083 and 441,126 is: 908,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,083 : 441,126 = 441,126 : x
  2. Step 2: Convert to fraction form
    214,083/441,126 = 441,126/x
  3. Step 3: Cross multiply
    214,083x = 441,126 × 441,126
  4. Step 4: Simplify right side
    214,083x = 194,592,147,876
  5. Step 5: Solve for x
    x = 194,592,147,876/214,083
  6. Step 6: Final answer
    x = 908,956.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.