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Finding the Third Proportional to 209,849 and 449,615

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Solution

The third proportional to 209,849 and 449,615 is: 963,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,849 : 449,615 = 449,615 : x
  2. Step 2: Convert to fraction form
    209,849/449,615 = 449,615/x
  3. Step 3: Cross multiply
    209,849x = 449,615 × 449,615
  4. Step 4: Simplify right side
    209,849x = 202,153,648,225
  5. Step 5: Solve for x
    x = 202,153,648,225/209,849
  6. Step 6: Final answer
    x = 963,329.10

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Why These Related Problems?

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