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Finding the Third Proportional to 184,476 and 405,066

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Solution

The third proportional to 184,476 and 405,066 is: 889,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,476 : 405,066 = 405,066 : x
  2. Step 2: Convert to fraction form
    184,476/405,066 = 405,066/x
  3. Step 3: Cross multiply
    184,476x = 405,066 × 405,066
  4. Step 4: Simplify right side
    184,476x = 164,078,464,356
  5. Step 5: Solve for x
    x = 164,078,464,356/184,476
  6. Step 6: Final answer
    x = 889,429.87

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