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Finding the Third Proportional to 184,484 and 405,073

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Solution

The third proportional to 184,484 and 405,073 is: 889,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,484 : 405,073 = 405,073 : x
  2. Step 2: Convert to fraction form
    184,484/405,073 = 405,073/x
  3. Step 3: Cross multiply
    184,484x = 405,073 × 405,073
  4. Step 4: Simplify right side
    184,484x = 164,084,135,329
  5. Step 5: Solve for x
    x = 164,084,135,329/184,484
  6. Step 6: Final answer
    x = 889,422.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.