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Finding the Third Proportional to 366,982 and 808,456

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Solution

The third proportional to 366,982 and 808,456 is: 1,781,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,982 : 808,456 = 808,456 : x
  2. Step 2: Convert to fraction form
    366,982/808,456 = 808,456/x
  3. Step 3: Cross multiply
    366,982x = 808,456 × 808,456
  4. Step 4: Simplify right side
    366,982x = 653,601,103,936
  5. Step 5: Solve for x
    x = 653,601,103,936/366,982
  6. Step 6: Final answer
    x = 1,781,016.79

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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.