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Finding the Third Proportional to 274,266 and 599,796

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Solution

The third proportional to 274,266 and 599,796 is: 1,311,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,266 : 599,796 = 599,796 : x
  2. Step 2: Convert to fraction form
    274,266/599,796 = 599,796/x
  3. Step 3: Cross multiply
    274,266x = 599,796 × 599,796
  4. Step 4: Simplify right side
    274,266x = 359,755,241,616
  5. Step 5: Solve for x
    x = 359,755,241,616/274,266
  6. Step 6: Final answer
    x = 1,311,701.93

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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.