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Finding the Third Proportional to 209,858 and 449,659.50

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Solution

The third proportional to 209,858 and 449,659.50 is: 963,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,858 : 449,659.50 = 449,659.50 : x
  2. Step 2: Convert to fraction form
    209,858/449,659.50 = 449,659.50/x
  3. Step 3: Cross multiply
    209,858x = 449,659.50 × 449,659.50
  4. Step 4: Simplify right side
    209,858x = 202,193,665,940.25
  5. Step 5: Solve for x
    x = 202,193,665,940.25/209,858
  6. Step 6: Final answer
    x = 963,478.48

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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.