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Finding the Third Proportional to 212,692 and 467,314

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Solution

The third proportional to 212,692 and 467,314 is: 1,026,754.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,692 : 467,314 = 467,314 : x
  2. Step 2: Convert to fraction form
    212,692/467,314 = 467,314/x
  3. Step 3: Cross multiply
    212,692x = 467,314 × 467,314
  4. Step 4: Simplify right side
    212,692x = 218,382,374,596
  5. Step 5: Solve for x
    x = 218,382,374,596/212,692
  6. Step 6: Final answer
    x = 1,026,754.06

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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.