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Finding the Third Proportional to 174,736 and 410,757

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Solution

The third proportional to 174,736 and 410,757 is: 965,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,736 : 410,757 = 410,757 : x
  2. Step 2: Convert to fraction form
    174,736/410,757 = 410,757/x
  3. Step 3: Cross multiply
    174,736x = 410,757 × 410,757
  4. Step 4: Simplify right side
    174,736x = 168,721,313,049
  5. Step 5: Solve for x
    x = 168,721,313,049/174,736
  6. Step 6: Final answer
    x = 965,578.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.