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Finding the Third Proportional to 177,803 and 419,721

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Solution

The third proportional to 177,803 and 419,721 is: 990,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,803 : 419,721 = 419,721 : x
  2. Step 2: Convert to fraction form
    177,803/419,721 = 419,721/x
  3. Step 3: Cross multiply
    177,803x = 419,721 × 419,721
  4. Step 4: Simplify right side
    177,803x = 176,165,717,841
  5. Step 5: Solve for x
    x = 176,165,717,841/177,803
  6. Step 6: Final answer
    x = 990,791.59

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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.