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Finding the Third Proportional to 296,257.50 and 447,003

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Solution

The third proportional to 296,257.50 and 447,003 is: 674,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,257.50 : 447,003 = 447,003 : x
  2. Step 2: Convert to fraction form
    296,257.50/447,003 = 447,003/x
  3. Step 3: Cross multiply
    296,257.50x = 447,003 × 447,003
  4. Step 4: Simplify right side
    296,257.50x = 199,811,682,009
  5. Step 5: Solve for x
    x = 199,811,682,009/296,257.50
  6. Step 6: Final answer
    x = 674,452.74

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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.