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Finding the Third Proportional to 209,043 and 447,600

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Solution

The third proportional to 209,043 and 447,600 is: 958,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,043 : 447,600 = 447,600 : x
  2. Step 2: Convert to fraction form
    209,043/447,600 = 447,600/x
  3. Step 3: Cross multiply
    209,043x = 447,600 × 447,600
  4. Step 4: Simplify right side
    209,043x = 200,345,760,000
  5. Step 5: Solve for x
    x = 200,345,760,000/209,043
  6. Step 6: Final answer
    x = 958,394.97

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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.