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Finding the Third Proportional to 199,825 and 427,990

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Solution

The third proportional to 199,825 and 427,990 is: 916,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,825 : 427,990 = 427,990 : x
  2. Step 2: Convert to fraction form
    199,825/427,990 = 427,990/x
  3. Step 3: Cross multiply
    199,825x = 427,990 × 427,990
  4. Step 4: Simplify right side
    199,825x = 183,175,440,100
  5. Step 5: Solve for x
    x = 183,175,440,100/199,825
  6. Step 6: Final answer
    x = 916,679.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.