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Finding the Third Proportional to 352,852 and 764,022.50

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Solution

The third proportional to 352,852 and 764,022.50 is: 1,654,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,852 : 764,022.50 = 764,022.50 : x
  2. Step 2: Convert to fraction form
    352,852/764,022.50 = 764,022.50/x
  3. Step 3: Cross multiply
    352,852x = 764,022.50 × 764,022.50
  4. Step 4: Simplify right side
    352,852x = 583,730,380,506.25
  5. Step 5: Solve for x
    x = 583,730,380,506.25/352,852
  6. Step 6: Final answer
    x = 1,654,320.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.