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Finding the Third Proportional to 231,824.81 and 494,269.13

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Solution

The third proportional to 231,824.81 and 494,269.13 is: 1,053,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,824.81 : 494,269.13 = 494,269.13 : x
  2. Step 2: Convert to fraction form
    231,824.81/494,269.13 = 494,269.13/x
  3. Step 3: Cross multiply
    231,824.81x = 494,269.13 × 494,269.13
  4. Step 4: Simplify right side
    231,824.81x = 244,301,967,928.27
  5. Step 5: Solve for x
    x = 244,301,967,928.27/231,824.81
  6. Step 6: Final answer
    x = 1,053,821.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.