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Finding the Third Proportional to 311,814 and 445,824

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Solution

The third proportional to 311,814 and 445,824 is: 637,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,814 : 445,824 = 445,824 : x
  2. Step 2: Convert to fraction form
    311,814/445,824 = 445,824/x
  3. Step 3: Cross multiply
    311,814x = 445,824 × 445,824
  4. Step 4: Simplify right side
    311,814x = 198,759,038,976
  5. Step 5: Solve for x
    x = 198,759,038,976/311,814
  6. Step 6: Final answer
    x = 637,428.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.