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Finding the Third Proportional to 184,689 and 395,622

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Solution

The third proportional to 184,689 and 395,622 is: 847,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,689 : 395,622 = 395,622 : x
  2. Step 2: Convert to fraction form
    184,689/395,622 = 395,622/x
  3. Step 3: Cross multiply
    184,689x = 395,622 × 395,622
  4. Step 4: Simplify right side
    184,689x = 156,516,766,884
  5. Step 5: Solve for x
    x = 156,516,766,884/184,689
  6. Step 6: Final answer
    x = 847,461.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.