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Finding the Third Proportional to 208,731 and 454,956

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Solution

The third proportional to 208,731 and 454,956 is: 991,634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,731 : 454,956 = 454,956 : x
  2. Step 2: Convert to fraction form
    208,731/454,956 = 454,956/x
  3. Step 3: Cross multiply
    208,731x = 454,956 × 454,956
  4. Step 4: Simplify right side
    208,731x = 206,984,961,936
  5. Step 5: Solve for x
    x = 206,984,961,936/208,731
  6. Step 6: Final answer
    x = 991,634.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.