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Finding the Third Proportional to 231,806.81 and 481,371.61

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Solution

The third proportional to 231,806.81 and 481,371.61 is: 999,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,806.81 : 481,371.61 = 481,371.61 : x
  2. Step 2: Convert to fraction form
    231,806.81/481,371.61 = 481,371.61/x
  3. Step 3: Cross multiply
    231,806.81x = 481,371.61 × 481,371.61
  4. Step 4: Simplify right side
    231,806.81x = 231,718,626,312.28
  5. Step 5: Solve for x
    x = 231,718,626,312.28/231,806.81
  6. Step 6: Final answer
    x = 999,619.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.