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Finding the Third Proportional to 217,452 and 441,015

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Solution

The third proportional to 217,452 and 441,015 is: 894,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,452 : 441,015 = 441,015 : x
  2. Step 2: Convert to fraction form
    217,452/441,015 = 441,015/x
  3. Step 3: Cross multiply
    217,452x = 441,015 × 441,015
  4. Step 4: Simplify right side
    217,452x = 194,494,230,225
  5. Step 5: Solve for x
    x = 194,494,230,225/217,452
  6. Step 6: Final answer
    x = 894,423.74

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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.