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Finding the Third Proportional to 361,850 and 552,171

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Solution

The third proportional to 361,850 and 552,171 is: 842,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,850 : 552,171 = 552,171 : x
  2. Step 2: Convert to fraction form
    361,850/552,171 = 552,171/x
  3. Step 3: Cross multiply
    361,850x = 552,171 × 552,171
  4. Step 4: Simplify right side
    361,850x = 304,892,813,241
  5. Step 5: Solve for x
    x = 304,892,813,241/361,850
  6. Step 6: Final answer
    x = 842,594.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.