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Finding the Third Proportional to 202,454.02 and 443,043.84

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Solution

The third proportional to 202,454.02 and 443,043.84 is: 969,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,454.02 : 443,043.84 = 443,043.84 : x
  2. Step 2: Convert to fraction form
    202,454.02/443,043.84 = 443,043.84/x
  3. Step 3: Cross multiply
    202,454.02x = 443,043.84 × 443,043.84
  4. Step 4: Simplify right side
    202,454.02x = 196,287,847,484.77
  5. Step 5: Solve for x
    x = 196,287,847,484.77/202,454.02
  6. Step 6: Final answer
    x = 969,542.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.