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Finding the Third Proportional to 311,944 and 638,638

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Solution

The third proportional to 311,944 and 638,638 is: 1,307,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,944 : 638,638 = 638,638 : x
  2. Step 2: Convert to fraction form
    311,944/638,638 = 638,638/x
  3. Step 3: Cross multiply
    311,944x = 638,638 × 638,638
  4. Step 4: Simplify right side
    311,944x = 407,858,495,044
  5. Step 5: Solve for x
    x = 407,858,495,044/311,944
  6. Step 6: Final answer
    x = 1,307,473.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.