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Finding the Third Proportional to 353,900 and 764,112.50

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Solution

The third proportional to 353,900 and 764,112.50 is: 1,649,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,900 : 764,112.50 = 764,112.50 : x
  2. Step 2: Convert to fraction form
    353,900/764,112.50 = 764,112.50/x
  3. Step 3: Cross multiply
    353,900x = 764,112.50 × 764,112.50
  4. Step 4: Simplify right side
    353,900x = 583,867,912,656.25
  5. Step 5: Solve for x
    x = 583,867,912,656.25/353,900
  6. Step 6: Final answer
    x = 1,649,810.43

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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.