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Finding the Third Proportional to 212,871 and 467,214

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Solution

The third proportional to 212,871 and 467,214 is: 1,025,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,871 : 467,214 = 467,214 : x
  2. Step 2: Convert to fraction form
    212,871/467,214 = 467,214/x
  3. Step 3: Cross multiply
    212,871x = 467,214 × 467,214
  4. Step 4: Simplify right side
    212,871x = 218,288,921,796
  5. Step 5: Solve for x
    x = 218,288,921,796/212,871
  6. Step 6: Final answer
    x = 1,025,451.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.