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Finding the Third Proportional to 253,516.50 and 550,827

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Solution

The third proportional to 253,516.50 and 550,827 is: 1,196,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,516.50 : 550,827 = 550,827 : x
  2. Step 2: Convert to fraction form
    253,516.50/550,827 = 550,827/x
  3. Step 3: Cross multiply
    253,516.50x = 550,827 × 550,827
  4. Step 4: Simplify right side
    253,516.50x = 303,410,383,929
  5. Step 5: Solve for x
    x = 303,410,383,929/253,516.50
  6. Step 6: Final answer
    x = 1,196,807.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.