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Finding the Third Proportional to 253,579.50 and 543,150

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Solution

The third proportional to 253,579.50 and 543,150 is: 1,163,390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,579.50 : 543,150 = 543,150 : x
  2. Step 2: Convert to fraction form
    253,579.50/543,150 = 543,150/x
  3. Step 3: Cross multiply
    253,579.50x = 543,150 × 543,150
  4. Step 4: Simplify right side
    253,579.50x = 295,011,922,500
  5. Step 5: Solve for x
    x = 295,011,922,500/253,579.50
  6. Step 6: Final answer
    x = 1,163,390.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.