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Finding the Third Proportional to 190,481.63 and 413,802

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Solution

The third proportional to 190,481.63 and 413,802 is: 898,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,481.63 : 413,802 = 413,802 : x
  2. Step 2: Convert to fraction form
    190,481.63/413,802 = 413,802/x
  3. Step 3: Cross multiply
    190,481.63x = 413,802 × 413,802
  4. Step 4: Simplify right side
    190,481.63x = 171,232,095,204
  5. Step 5: Solve for x
    x = 171,232,095,204/190,481.63
  6. Step 6: Final answer
    x = 898,942.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.