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Finding the Third Proportional to 188,481 and 409,674

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Solution

The third proportional to 188,481 and 409,674 is: 890,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,481 : 409,674 = 409,674 : x
  2. Step 2: Convert to fraction form
    188,481/409,674 = 409,674/x
  3. Step 3: Cross multiply
    188,481x = 409,674 × 409,674
  4. Step 4: Simplify right side
    188,481x = 167,832,786,276
  5. Step 5: Solve for x
    x = 167,832,786,276/188,481
  6. Step 6: Final answer
    x = 890,449.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.