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Finding the Third Proportional to 210,453.19 and 447,195.94

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Solution

The third proportional to 210,453.19 and 447,195.94 is: 950,255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,453.19 : 447,195.94 = 447,195.94 : x
  2. Step 2: Convert to fraction form
    210,453.19/447,195.94 = 447,195.94/x
  3. Step 3: Cross multiply
    210,453.19x = 447,195.94 × 447,195.94
  4. Step 4: Simplify right side
    210,453.19x = 199,984,206,516.50
  5. Step 5: Solve for x
    x = 199,984,206,516.50/210,453.19
  6. Step 6: Final answer
    x = 950,255.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.