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Finding the Third Proportional to 379,219 and 814,206

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Solution

The third proportional to 379,219 and 814,206 is: 1,748,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,219 : 814,206 = 814,206 : x
  2. Step 2: Convert to fraction form
    379,219/814,206 = 814,206/x
  3. Step 3: Cross multiply
    379,219x = 814,206 × 814,206
  4. Step 4: Simplify right side
    379,219x = 662,931,410,436
  5. Step 5: Solve for x
    x = 662,931,410,436/379,219
  6. Step 6: Final answer
    x = 1,748,149.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.