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Finding the Third Proportional to 202,658 and 440,992

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Solution

The third proportional to 202,658 and 440,992 is: 959,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,658 : 440,992 = 440,992 : x
  2. Step 2: Convert to fraction form
    202,658/440,992 = 440,992/x
  3. Step 3: Cross multiply
    202,658x = 440,992 × 440,992
  4. Step 4: Simplify right side
    202,658x = 194,473,944,064
  5. Step 5: Solve for x
    x = 194,473,944,064/202,658
  6. Step 6: Final answer
    x = 959,616.42

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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.