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Finding the Third Proportional to 214,671.94 and 447,000.19

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Solution

The third proportional to 214,671.94 and 447,000.19 is: 930,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,671.94 : 447,000.19 = 447,000.19 : x
  2. Step 2: Convert to fraction form
    214,671.94/447,000.19 = 447,000.19/x
  3. Step 3: Cross multiply
    214,671.94x = 447,000.19 × 447,000.19
  4. Step 4: Simplify right side
    214,671.94x = 199,809,167,625.04
  5. Step 5: Solve for x
    x = 199,809,167,625.04/214,671.94
  6. Step 6: Final answer
    x = 930,765.19

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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.