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Finding the Third Proportional to 208,504.13 and 457,604.44

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Solution

The third proportional to 208,504.13 and 457,604.44 is: 1,004,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,504.13 : 457,604.44 = 457,604.44 : x
  2. Step 2: Convert to fraction form
    208,504.13/457,604.44 = 457,604.44/x
  3. Step 3: Cross multiply
    208,504.13x = 457,604.44 × 457,604.44
  4. Step 4: Simplify right side
    208,504.13x = 209,401,821,219.69
  5. Step 5: Solve for x
    x = 209,401,821,219.69/208,504.13
  6. Step 6: Final answer
    x = 1,004,305.41

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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.