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Finding the Third Proportional to 207,328 and 447,736

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Solution

The third proportional to 207,328 and 447,736 is: 966,910.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,328 : 447,736 = 447,736 : x
  2. Step 2: Convert to fraction form
    207,328/447,736 = 447,736/x
  3. Step 3: Cross multiply
    207,328x = 447,736 × 447,736
  4. Step 4: Simplify right side
    207,328x = 200,467,525,696
  5. Step 5: Solve for x
    x = 200,467,525,696/207,328
  6. Step 6: Final answer
    x = 966,910.04

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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.