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Finding the Third Proportional to 188,022 and 410,604

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Solution

The third proportional to 188,022 and 410,604 is: 896,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,022 : 410,604 = 410,604 : x
  2. Step 2: Convert to fraction form
    188,022/410,604 = 410,604/x
  3. Step 3: Cross multiply
    188,022x = 410,604 × 410,604
  4. Step 4: Simplify right side
    188,022x = 168,595,644,816
  5. Step 5: Solve for x
    x = 168,595,644,816/188,022
  6. Step 6: Final answer
    x = 896,680.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.