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Finding the Third Proportional to 413,450 and 890,240

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Solution

The third proportional to 413,450 and 890,240 is: 1,916,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,450 : 890,240 = 890,240 : x
  2. Step 2: Convert to fraction form
    413,450/890,240 = 890,240/x
  3. Step 3: Cross multiply
    413,450x = 890,240 × 890,240
  4. Step 4: Simplify right side
    413,450x = 792,527,257,600
  5. Step 5: Solve for x
    x = 792,527,257,600/413,450
  6. Step 6: Final answer
    x = 1,916,863.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.