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Finding the Third Proportional to 184,476 and 405,996

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Solution

The third proportional to 184,476 and 405,996 is: 893,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,476 : 405,996 = 405,996 : x
  2. Step 2: Convert to fraction form
    184,476/405,996 = 405,996/x
  3. Step 3: Cross multiply
    184,476x = 405,996 × 405,996
  4. Step 4: Simplify right side
    184,476x = 164,832,752,016
  5. Step 5: Solve for x
    x = 164,832,752,016/184,476
  6. Step 6: Final answer
    x = 893,518.68

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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.