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Finding the Third Proportional to 189,722 and 413,788

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Solution

The third proportional to 189,722 and 413,788 is: 902,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,722 : 413,788 = 413,788 : x
  2. Step 2: Convert to fraction form
    189,722/413,788 = 413,788/x
  3. Step 3: Cross multiply
    189,722x = 413,788 × 413,788
  4. Step 4: Simplify right side
    189,722x = 171,220,508,944
  5. Step 5: Solve for x
    x = 171,220,508,944/189,722
  6. Step 6: Final answer
    x = 902,481.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.