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Finding the Third Proportional to 296,251 and 447,019.50

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Solution

The third proportional to 296,251 and 447,019.50 is: 674,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,251 : 447,019.50 = 447,019.50 : x
  2. Step 2: Convert to fraction form
    296,251/447,019.50 = 447,019.50/x
  3. Step 3: Cross multiply
    296,251x = 447,019.50 × 447,019.50
  4. Step 4: Simplify right side
    296,251x = 199,826,433,380.25
  5. Step 5: Solve for x
    x = 199,826,433,380.25/296,251
  6. Step 6: Final answer
    x = 674,517.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.