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Finding the Third Proportional to 274,270 and 599,804

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Solution

The third proportional to 274,270 and 599,804 is: 1,311,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,270 : 599,804 = 599,804 : x
  2. Step 2: Convert to fraction form
    274,270/599,804 = 599,804/x
  3. Step 3: Cross multiply
    274,270x = 599,804 × 599,804
  4. Step 4: Simplify right side
    274,270x = 359,764,838,416
  5. Step 5: Solve for x
    x = 359,764,838,416/274,270
  6. Step 6: Final answer
    x = 1,311,717.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.