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Finding the Third Proportional to 275,562 and 601,668

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Solution

The third proportional to 275,562 and 601,668 is: 1,313,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,562 : 601,668 = 601,668 : x
  2. Step 2: Convert to fraction form
    275,562/601,668 = 601,668/x
  3. Step 3: Cross multiply
    275,562x = 601,668 × 601,668
  4. Step 4: Simplify right side
    275,562x = 362,004,382,224
  5. Step 5: Solve for x
    x = 362,004,382,224/275,562
  6. Step 6: Final answer
    x = 1,313,694.86

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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.