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Finding the Third Proportional to 177,824 and 419,752

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Solution

The third proportional to 177,824 and 419,752 is: 990,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,824 : 419,752 = 419,752 : x
  2. Step 2: Convert to fraction form
    177,824/419,752 = 419,752/x
  3. Step 3: Cross multiply
    177,824x = 419,752 × 419,752
  4. Step 4: Simplify right side
    177,824x = 176,191,741,504
  5. Step 5: Solve for x
    x = 176,191,741,504/177,824
  6. Step 6: Final answer
    x = 990,820.93

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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.