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Finding the Third Proportional to 214,678 and 471,852

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Solution

The third proportional to 214,678 and 471,852 is: 1,037,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,678 : 471,852 = 471,852 : x
  2. Step 2: Convert to fraction form
    214,678/471,852 = 471,852/x
  3. Step 3: Cross multiply
    214,678x = 471,852 × 471,852
  4. Step 4: Simplify right side
    214,678x = 222,644,309,904
  5. Step 5: Solve for x
    x = 222,644,309,904/214,678
  6. Step 6: Final answer
    x = 1,037,108.18

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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.