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Finding the Third Proportional to 397,212 and 851,276

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Solution

The third proportional to 397,212 and 851,276 is: 1,824,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,212 : 851,276 = 851,276 : x
  2. Step 2: Convert to fraction form
    397,212/851,276 = 851,276/x
  3. Step 3: Cross multiply
    397,212x = 851,276 × 851,276
  4. Step 4: Simplify right side
    397,212x = 724,670,828,176
  5. Step 5: Solve for x
    x = 724,670,828,176/397,212
  6. Step 6: Final answer
    x = 1,824,393.09

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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.