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Finding the Third Proportional to 209,921.63 and 459,209.25

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Solution

The third proportional to 209,921.63 and 459,209.25 is: 1,004,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,921.63 : 459,209.25 = 459,209.25 : x
  2. Step 2: Convert to fraction form
    209,921.63/459,209.25 = 459,209.25/x
  3. Step 3: Cross multiply
    209,921.63x = 459,209.25 × 459,209.25
  4. Step 4: Simplify right side
    209,921.63x = 210,873,135,285.56
  5. Step 5: Solve for x
    x = 210,873,135,285.56/209,921.63
  6. Step 6: Final answer
    x = 1,004,532.69

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Why These Related Problems?

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