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Finding the Third Proportional to 189,474.19 and 409,004.44

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Solution

The third proportional to 189,474.19 and 409,004.44 is: 882,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,474.19 : 409,004.44 = 409,004.44 : x
  2. Step 2: Convert to fraction form
    189,474.19/409,004.44 = 409,004.44/x
  3. Step 3: Cross multiply
    189,474.19x = 409,004.44 × 409,004.44
  4. Step 4: Simplify right side
    189,474.19x = 167,284,629,894.69
  5. Step 5: Solve for x
    x = 167,284,629,894.69/189,474.19
  6. Step 6: Final answer
    x = 882,888.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.