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Finding the Third Proportional to 264,824.44 and 543,601.13

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Solution

The third proportional to 264,824.44 and 543,601.13 is: 1,115,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,824.44 : 543,601.13 = 543,601.13 : x
  2. Step 2: Convert to fraction form
    264,824.44/543,601.13 = 543,601.13/x
  3. Step 3: Cross multiply
    264,824.44x = 543,601.13 × 543,601.13
  4. Step 4: Simplify right side
    264,824.44x = 295,502,183,101.27
  5. Step 5: Solve for x
    x = 295,502,183,101.27/264,824.44
  6. Step 6: Final answer
    x = 1,115,841.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.