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Finding the Third Proportional to 182,824 and 407,660

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Solution

The third proportional to 182,824 and 407,660 is: 908,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,824 : 407,660 = 407,660 : x
  2. Step 2: Convert to fraction form
    182,824/407,660 = 407,660/x
  3. Step 3: Cross multiply
    182,824x = 407,660 × 407,660
  4. Step 4: Simplify right side
    182,824x = 166,186,675,600
  5. Step 5: Solve for x
    x = 166,186,675,600/182,824
  6. Step 6: Final answer
    x = 908,998.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.