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Finding the Third Proportional to 207,841 and 446,570

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Solution

The third proportional to 207,841 and 446,570 is: 959,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,841 : 446,570 = 446,570 : x
  2. Step 2: Convert to fraction form
    207,841/446,570 = 446,570/x
  3. Step 3: Cross multiply
    207,841x = 446,570 × 446,570
  4. Step 4: Simplify right side
    207,841x = 199,424,764,900
  5. Step 5: Solve for x
    x = 199,424,764,900/207,841
  6. Step 6: Final answer
    x = 959,506.38

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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.