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Finding the Third Proportional to 225,277.50 and 523,827

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Solution

The third proportional to 225,277.50 and 523,827 is: 1,218,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,277.50 : 523,827 = 523,827 : x
  2. Step 2: Convert to fraction form
    225,277.50/523,827 = 523,827/x
  3. Step 3: Cross multiply
    225,277.50x = 523,827 × 523,827
  4. Step 4: Simplify right side
    225,277.50x = 274,394,725,929
  5. Step 5: Solve for x
    x = 274,394,725,929/225,277.50
  6. Step 6: Final answer
    x = 1,218,029.88

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.