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Finding the Third Proportional to 208,951.50 and 457,962

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Solution

The third proportional to 208,951.50 and 457,962 is: 1,003,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,951.50 : 457,962 = 457,962 : x
  2. Step 2: Convert to fraction form
    208,951.50/457,962 = 457,962/x
  3. Step 3: Cross multiply
    208,951.50x = 457,962 × 457,962
  4. Step 4: Simplify right side
    208,951.50x = 209,729,193,444
  5. Step 5: Solve for x
    x = 209,729,193,444/208,951.50
  6. Step 6: Final answer
    x = 1,003,721.88

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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.