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Finding the Third Proportional to 224,096 and 468,968

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Solution

The third proportional to 224,096 and 468,968 is: 981,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,096 : 468,968 = 468,968 : x
  2. Step 2: Convert to fraction form
    224,096/468,968 = 468,968/x
  3. Step 3: Cross multiply
    224,096x = 468,968 × 468,968
  4. Step 4: Simplify right side
    224,096x = 219,930,985,024
  5. Step 5: Solve for x
    x = 219,930,985,024/224,096
  6. Step 6: Final answer
    x = 981,414.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.