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Finding the Third Proportional to 184,790 and 399,124

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Solution

The third proportional to 184,790 and 399,124 is: 862,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,790 : 399,124 = 399,124 : x
  2. Step 2: Convert to fraction form
    184,790/399,124 = 399,124/x
  3. Step 3: Cross multiply
    184,790x = 399,124 × 399,124
  4. Step 4: Simplify right side
    184,790x = 159,299,967,376
  5. Step 5: Solve for x
    x = 159,299,967,376/184,790
  6. Step 6: Final answer
    x = 862,059.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.