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Finding the Third Proportional to 177,728 and 419,552

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Solution

The third proportional to 177,728 and 419,552 is: 990,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,728 : 419,552 = 419,552 : x
  2. Step 2: Convert to fraction form
    177,728/419,552 = 419,552/x
  3. Step 3: Cross multiply
    177,728x = 419,552 × 419,552
  4. Step 4: Simplify right side
    177,728x = 176,023,880,704
  5. Step 5: Solve for x
    x = 176,023,880,704/177,728
  6. Step 6: Final answer
    x = 990,411.64

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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.