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Finding the Third Proportional to 355,039.50 and 764,208

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Solution

The third proportional to 355,039.50 and 764,208 is: 1,644,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,039.50 : 764,208 = 764,208 : x
  2. Step 2: Convert to fraction form
    355,039.50/764,208 = 764,208/x
  3. Step 3: Cross multiply
    355,039.50x = 764,208 × 764,208
  4. Step 4: Simplify right side
    355,039.50x = 584,013,867,264
  5. Step 5: Solve for x
    x = 584,013,867,264/355,039.50
  6. Step 6: Final answer
    x = 1,644,926.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.