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Finding the Third Proportional to 301,832 and 637,936

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Solution

The third proportional to 301,832 and 637,936 is: 1,348,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,832 : 637,936 = 637,936 : x
  2. Step 2: Convert to fraction form
    301,832/637,936 = 637,936/x
  3. Step 3: Cross multiply
    301,832x = 637,936 × 637,936
  4. Step 4: Simplify right side
    301,832x = 406,962,340,096
  5. Step 5: Solve for x
    x = 406,962,340,096/301,832
  6. Step 6: Final answer
    x = 1,348,307.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.