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Finding the Third Proportional to 184,620 and 401,640

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Solution

The third proportional to 184,620 and 401,640 is: 873,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,620 : 401,640 = 401,640 : x
  2. Step 2: Convert to fraction form
    184,620/401,640 = 401,640/x
  3. Step 3: Cross multiply
    184,620x = 401,640 × 401,640
  4. Step 4: Simplify right side
    184,620x = 161,314,689,600
  5. Step 5: Solve for x
    x = 161,314,689,600/184,620
  6. Step 6: Final answer
    x = 873,766.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.