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Finding the Third Proportional to 274,049.50 and 597,770

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Solution

The third proportional to 274,049.50 and 597,770 is: 1,303,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,049.50 : 597,770 = 597,770 : x
  2. Step 2: Convert to fraction form
    274,049.50/597,770 = 597,770/x
  3. Step 3: Cross multiply
    274,049.50x = 597,770 × 597,770
  4. Step 4: Simplify right side
    274,049.50x = 357,328,972,900
  5. Step 5: Solve for x
    x = 357,328,972,900/274,049.50
  6. Step 6: Final answer
    x = 1,303,884.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.