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Finding the Third Proportional to 207,104 and 446,828

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Solution

The third proportional to 207,104 and 446,828 is: 964,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,104 : 446,828 = 446,828 : x
  2. Step 2: Convert to fraction form
    207,104/446,828 = 446,828/x
  3. Step 3: Cross multiply
    207,104x = 446,828 × 446,828
  4. Step 4: Simplify right side
    207,104x = 199,655,261,584
  5. Step 5: Solve for x
    x = 199,655,261,584/207,104
  6. Step 6: Final answer
    x = 964,033.83

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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.