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Finding the Third Proportional to 274,753 and 599,888

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Solution

The third proportional to 274,753 and 599,888 is: 1,309,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,753 : 599,888 = 599,888 : x
  2. Step 2: Convert to fraction form
    274,753/599,888 = 599,888/x
  3. Step 3: Cross multiply
    274,753x = 599,888 × 599,888
  4. Step 4: Simplify right side
    274,753x = 359,865,612,544
  5. Step 5: Solve for x
    x = 359,865,612,544/274,753
  6. Step 6: Final answer
    x = 1,309,778.65

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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.