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Finding the Third Proportional to 185,414 and 404,666

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Solution

The third proportional to 185,414 and 404,666 is: 883,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,414 : 404,666 = 404,666 : x
  2. Step 2: Convert to fraction form
    185,414/404,666 = 404,666/x
  3. Step 3: Cross multiply
    185,414x = 404,666 × 404,666
  4. Step 4: Simplify right side
    185,414x = 163,754,571,556
  5. Step 5: Solve for x
    x = 163,754,571,556/185,414
  6. Step 6: Final answer
    x = 883,183.42

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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.