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Finding the Third Proportional to 353,947.50 and 764,244

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Solution

The third proportional to 353,947.50 and 764,244 is: 1,650,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,947.50 : 764,244 = 764,244 : x
  2. Step 2: Convert to fraction form
    353,947.50/764,244 = 764,244/x
  3. Step 3: Cross multiply
    353,947.50x = 764,244 × 764,244
  4. Step 4: Simplify right side
    353,947.50x = 584,068,891,536
  5. Step 5: Solve for x
    x = 584,068,891,536/353,947.50
  6. Step 6: Final answer
    x = 1,650,156.85

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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.