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Finding the Third Proportional to 195,884 and 439,704

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Solution

The third proportional to 195,884 and 439,704 is: 987,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,884 : 439,704 = 439,704 : x
  2. Step 2: Convert to fraction form
    195,884/439,704 = 439,704/x
  3. Step 3: Cross multiply
    195,884x = 439,704 × 439,704
  4. Step 4: Simplify right side
    195,884x = 193,339,607,616
  5. Step 5: Solve for x
    x = 193,339,607,616/195,884
  6. Step 6: Final answer
    x = 987,010.72

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.