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Finding the Third Proportional to 184,422 and 404,556

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Solution

The third proportional to 184,422 and 404,556 is: 887,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,422 : 404,556 = 404,556 : x
  2. Step 2: Convert to fraction form
    184,422/404,556 = 404,556/x
  3. Step 3: Cross multiply
    184,422x = 404,556 × 404,556
  4. Step 4: Simplify right side
    184,422x = 163,665,557,136
  5. Step 5: Solve for x
    x = 163,665,557,136/184,422
  6. Step 6: Final answer
    x = 887,451.37

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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.