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Finding the Third Proportional to 237,907 and 322,949

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Solution

The third proportional to 237,907 and 322,949 is: 438,390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,907 : 322,949 = 322,949 : x
  2. Step 2: Convert to fraction form
    237,907/322,949 = 322,949/x
  3. Step 3: Cross multiply
    237,907x = 322,949 × 322,949
  4. Step 4: Simplify right side
    237,907x = 104,296,056,601
  5. Step 5: Solve for x
    x = 104,296,056,601/237,907
  6. Step 6: Final answer
    x = 438,390.03

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.