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Finding the Third Proportional to 274,757 and 599,896

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Solution

The third proportional to 274,757 and 599,896 is: 1,309,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,757 : 599,896 = 599,896 : x
  2. Step 2: Convert to fraction form
    274,757/599,896 = 599,896/x
  3. Step 3: Cross multiply
    274,757x = 599,896 × 599,896
  4. Step 4: Simplify right side
    274,757x = 359,875,210,816
  5. Step 5: Solve for x
    x = 359,875,210,816/274,757
  6. Step 6: Final answer
    x = 1,309,794.51

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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.