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Finding the Third Proportional to 354,198.50 and 764,369

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Solution

The third proportional to 354,198.50 and 764,369 is: 1,649,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,198.50 : 764,369 = 764,369 : x
  2. Step 2: Convert to fraction form
    354,198.50/764,369 = 764,369/x
  3. Step 3: Cross multiply
    354,198.50x = 764,369 × 764,369
  4. Step 4: Simplify right side
    354,198.50x = 584,259,968,161
  5. Step 5: Solve for x
    x = 584,259,968,161/354,198.50
  6. Step 6: Final answer
    x = 1,649,526.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.