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Finding the Third Proportional to 208,494 and 457,584.19

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Solution

The third proportional to 208,494 and 457,584.19 is: 1,004,265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,494 : 457,584.19 = 457,584.19 : x
  2. Step 2: Convert to fraction form
    208,494/457,584.19 = 457,584.19/x
  3. Step 3: Cross multiply
    208,494x = 457,584.19 × 457,584.19
  4. Step 4: Simplify right side
    208,494x = 209,383,288,650.04
  5. Step 5: Solve for x
    x = 209,383,288,650.04/208,494
  6. Step 6: Final answer
    x = 1,004,265.30

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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.