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Finding the Third Proportional to 214,706 and 471,892

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Solution

The third proportional to 214,706 and 471,892 is: 1,037,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,706 : 471,892 = 471,892 : x
  2. Step 2: Convert to fraction form
    214,706/471,892 = 471,892/x
  3. Step 3: Cross multiply
    214,706x = 471,892 × 471,892
  4. Step 4: Simplify right side
    214,706x = 222,682,059,664
  5. Step 5: Solve for x
    x = 222,682,059,664/214,706
  6. Step 6: Final answer
    x = 1,037,148.75

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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.