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Finding the Third Proportional to 206,842 and 446,692

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Solution

The third proportional to 206,842 and 446,692 is: 964,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,842 : 446,692 = 446,692 : x
  2. Step 2: Convert to fraction form
    206,842/446,692 = 446,692/x
  3. Step 3: Cross multiply
    206,842x = 446,692 × 446,692
  4. Step 4: Simplify right side
    206,842x = 199,533,742,864
  5. Step 5: Solve for x
    x = 199,533,742,864/206,842
  6. Step 6: Final answer
    x = 964,667.44

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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.