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Finding the Third Proportional to 356,212 and 550,856

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Solution

The third proportional to 356,212 and 550,856 is: 851,858.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,212 : 550,856 = 550,856 : x
  2. Step 2: Convert to fraction form
    356,212/550,856 = 550,856/x
  3. Step 3: Cross multiply
    356,212x = 550,856 × 550,856
  4. Step 4: Simplify right side
    356,212x = 303,442,332,736
  5. Step 5: Solve for x
    x = 303,442,332,736/356,212
  6. Step 6: Final answer
    x = 851,858.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.