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Finding the Third Proportional to 184,810 and 404,976

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Solution

The third proportional to 184,810 and 404,976 is: 887,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,810 : 404,976 = 404,976 : x
  2. Step 2: Convert to fraction form
    184,810/404,976 = 404,976/x
  3. Step 3: Cross multiply
    184,810x = 404,976 × 404,976
  4. Step 4: Simplify right side
    184,810x = 164,005,560,576
  5. Step 5: Solve for x
    x = 164,005,560,576/184,810
  6. Step 6: Final answer
    x = 887,427.96

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