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Finding the Third Proportional to 177,820 and 419,734

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Solution

The third proportional to 177,820 and 419,734 is: 990,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,820 : 419,734 = 419,734 : x
  2. Step 2: Convert to fraction form
    177,820/419,734 = 419,734/x
  3. Step 3: Cross multiply
    177,820x = 419,734 × 419,734
  4. Step 4: Simplify right side
    177,820x = 176,176,630,756
  5. Step 5: Solve for x
    x = 176,176,630,756/177,820
  6. Step 6: Final answer
    x = 990,758.24

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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.