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Finding the Third Proportional to 214,986 and 447,412

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Solution

The third proportional to 214,986 and 447,412 is: 931,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,986 : 447,412 = 447,412 : x
  2. Step 2: Convert to fraction form
    214,986/447,412 = 447,412/x
  3. Step 3: Cross multiply
    214,986x = 447,412 × 447,412
  4. Step 4: Simplify right side
    214,986x = 200,177,497,744
  5. Step 5: Solve for x
    x = 200,177,497,744/214,986
  6. Step 6: Final answer
    x = 931,118.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.