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Finding the Third Proportional to 274,016 and 429,956

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Solution

The third proportional to 274,016 and 429,956 is: 674,640.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,016 : 429,956 = 429,956 : x
  2. Step 2: Convert to fraction form
    274,016/429,956 = 429,956/x
  3. Step 3: Cross multiply
    274,016x = 429,956 × 429,956
  4. Step 4: Simplify right side
    274,016x = 184,862,161,936
  5. Step 5: Solve for x
    x = 184,862,161,936/274,016
  6. Step 6: Final answer
    x = 674,640.03

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.