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Finding the Third Proportional to 207,842 and 447,738

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Solution

The third proportional to 207,842 and 447,738 is: 964,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,842 : 447,738 = 447,738 : x
  2. Step 2: Convert to fraction form
    207,842/447,738 = 447,738/x
  3. Step 3: Cross multiply
    207,842x = 447,738 × 447,738
  4. Step 4: Simplify right side
    207,842x = 200,469,316,644
  5. Step 5: Solve for x
    x = 200,469,316,644/207,842
  6. Step 6: Final answer
    x = 964,527.46

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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.