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Finding the Third Proportional to 209,844.68 and 449,630.33

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Solution

The third proportional to 209,844.68 and 449,630.33 is: 963,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,844.68 : 449,630.33 = 449,630.33 : x
  2. Step 2: Convert to fraction form
    209,844.68/449,630.33 = 449,630.33/x
  3. Step 3: Cross multiply
    209,844.68x = 449,630.33 × 449,630.33
  4. Step 4: Simplify right side
    209,844.68x = 202,167,431,530.71
  5. Step 5: Solve for x
    x = 202,167,431,530.71/209,844.68
  6. Step 6: Final answer
    x = 963,414.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.