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Finding the Third Proportional to 217,487 and 441,085

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Solution

The third proportional to 217,487 and 441,085 is: 894,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,487 : 441,085 = 441,085 : x
  2. Step 2: Convert to fraction form
    217,487/441,085 = 441,085/x
  3. Step 3: Cross multiply
    217,487x = 441,085 × 441,085
  4. Step 4: Simplify right side
    217,487x = 194,555,977,225
  5. Step 5: Solve for x
    x = 194,555,977,225/217,487
  6. Step 6: Final answer
    x = 894,563.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.