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Finding the Third Proportional to 381,745.13 and 590,552.81

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Solution

The third proportional to 381,745.13 and 590,552.81 is: 913,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,745.13 : 590,552.81 = 590,552.81 : x
  2. Step 2: Convert to fraction form
    381,745.13/590,552.81 = 590,552.81/x
  3. Step 3: Cross multiply
    381,745.13x = 590,552.81 × 590,552.81
  4. Step 4: Simplify right side
    381,745.13x = 348,752,624,351.66
  5. Step 5: Solve for x
    x = 348,752,624,351.66/381,745.13
  6. Step 6: Final answer
    x = 913,574.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.