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Finding the Third Proportional to 184,980 and 397,581

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Solution

The third proportional to 184,980 and 397,581 is: 854,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,980 : 397,581 = 397,581 : x
  2. Step 2: Convert to fraction form
    184,980/397,581 = 397,581/x
  3. Step 3: Cross multiply
    184,980x = 397,581 × 397,581
  4. Step 4: Simplify right side
    184,980x = 158,070,651,561
  5. Step 5: Solve for x
    x = 158,070,651,561/184,980
  6. Step 6: Final answer
    x = 854,528.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.