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Finding the Third Proportional to 376,452 and 536,620.50

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Solution

The third proportional to 376,452 and 536,620.50 is: 764,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,452 : 536,620.50 = 536,620.50 : x
  2. Step 2: Convert to fraction form
    376,452/536,620.50 = 536,620.50/x
  3. Step 3: Cross multiply
    376,452x = 536,620.50 × 536,620.50
  4. Step 4: Simplify right side
    376,452x = 287,961,561,020.25
  5. Step 5: Solve for x
    x = 287,961,561,020.25/376,452
  6. Step 6: Final answer
    x = 764,935.67

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.