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Finding the Third Proportional to 184,656 and 403,474

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Solution

The third proportional to 184,656 and 403,474 is: 881,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,656 : 403,474 = 403,474 : x
  2. Step 2: Convert to fraction form
    184,656/403,474 = 403,474/x
  3. Step 3: Cross multiply
    184,656x = 403,474 × 403,474
  4. Step 4: Simplify right side
    184,656x = 162,791,268,676
  5. Step 5: Solve for x
    x = 162,791,268,676/184,656
  6. Step 6: Final answer
    x = 881,592.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.