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Finding the Third Proportional to 183,770 and 404,788

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Solution

The third proportional to 183,770 and 404,788 is: 891,621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,770 : 404,788 = 404,788 : x
  2. Step 2: Convert to fraction form
    183,770/404,788 = 404,788/x
  3. Step 3: Cross multiply
    183,770x = 404,788 × 404,788
  4. Step 4: Simplify right side
    183,770x = 163,853,324,944
  5. Step 5: Solve for x
    x = 163,853,324,944/183,770
  6. Step 6: Final answer
    x = 891,621.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.