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Finding the Third Proportional to 214,984.50 and 447,615

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Solution

The third proportional to 214,984.50 and 447,615 is: 931,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,984.50 : 447,615 = 447,615 : x
  2. Step 2: Convert to fraction form
    214,984.50/447,615 = 447,615/x
  3. Step 3: Cross multiply
    214,984.50x = 447,615 × 447,615
  4. Step 4: Simplify right side
    214,984.50x = 200,359,188,225
  5. Step 5: Solve for x
    x = 200,359,188,225/214,984.50
  6. Step 6: Final answer
    x = 931,970.39

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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.