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Finding the Third Proportional to 244,579.50 and 533,992.50

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Solution

The third proportional to 244,579.50 and 533,992.50 is: 1,165,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,579.50 : 533,992.50 = 533,992.50 : x
  2. Step 2: Convert to fraction form
    244,579.50/533,992.50 = 533,992.50/x
  3. Step 3: Cross multiply
    244,579.50x = 533,992.50 × 533,992.50
  4. Step 4: Simplify right side
    244,579.50x = 285,147,990,056.25
  5. Step 5: Solve for x
    x = 285,147,990,056.25/244,579.50
  6. Step 6: Final answer
    x = 1,165,870.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.