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Finding the Third Proportional to 177,689 and 419,462

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Solution

The third proportional to 177,689 and 419,462 is: 990,204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,689 : 419,462 = 419,462 : x
  2. Step 2: Convert to fraction form
    177,689/419,462 = 419,462/x
  3. Step 3: Cross multiply
    177,689x = 419,462 × 419,462
  4. Step 4: Simplify right side
    177,689x = 175,948,369,444
  5. Step 5: Solve for x
    x = 175,948,369,444/177,689
  6. Step 6: Final answer
    x = 990,204.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.