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Finding the Third Proportional to 355,144.50 and 543,287.25

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Solution

The third proportional to 355,144.50 and 543,287.25 is: 831,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,144.50 : 543,287.25 = 543,287.25 : x
  2. Step 2: Convert to fraction form
    355,144.50/543,287.25 = 543,287.25/x
  3. Step 3: Cross multiply
    355,144.50x = 543,287.25 × 543,287.25
  4. Step 4: Simplify right side
    355,144.50x = 295,161,036,012.56
  5. Step 5: Solve for x
    x = 295,161,036,012.56/355,144.50
  6. Step 6: Final answer
    x = 831,101.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.