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Finding the Third Proportional to 209,469.80 and 452,143.27

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Solution

The third proportional to 209,469.80 and 452,143.27 is: 975,957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,469.80 : 452,143.27 = 452,143.27 : x
  2. Step 2: Convert to fraction form
    209,469.80/452,143.27 = 452,143.27/x
  3. Step 3: Cross multiply
    209,469.80x = 452,143.27 × 452,143.27
  4. Step 4: Simplify right side
    209,469.80x = 204,433,532,650.04
  5. Step 5: Solve for x
    x = 204,433,532,650.04/209,469.80
  6. Step 6: Final answer
    x = 975,957.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.