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Finding the Third Proportional to 298,252.13 and 451,721.81

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Solution

The third proportional to 298,252.13 and 451,721.81 is: 684,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,252.13 : 451,721.81 = 451,721.81 : x
  2. Step 2: Convert to fraction form
    298,252.13/451,721.81 = 451,721.81/x
  3. Step 3: Cross multiply
    298,252.13x = 451,721.81 × 451,721.81
  4. Step 4: Simplify right side
    298,252.13x = 204,052,595,888.29
  5. Step 5: Solve for x
    x = 204,052,595,888.29/298,252.13
  6. Step 6: Final answer
    x = 684,161.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.