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Finding the Third Proportional to 543,703.50 and 1,279,230.75

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Solution

The third proportional to 543,703.50 and 1,279,230.75 is: 3,009,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,703.50 : 1,279,230.75 = 1,279,230.75 : x
  2. Step 2: Convert to fraction form
    543,703.50/1,279,230.75 = 1,279,230.75/x
  3. Step 3: Cross multiply
    543,703.50x = 1,279,230.75 × 1,279,230.75
  4. Step 4: Simplify right side
    543,703.50x = 1,636,431,311,745.56
  5. Step 5: Solve for x
    x = 1,636,431,311,745.56/543,703.50
  6. Step 6: Final answer
    x = 3,009,786.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.