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Finding the Third Proportional to 380,236 and 834,831

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Solution

The third proportional to 380,236 and 834,831 is: 1,832,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,236 : 834,831 = 834,831 : x
  2. Step 2: Convert to fraction form
    380,236/834,831 = 834,831/x
  3. Step 3: Cross multiply
    380,236x = 834,831 × 834,831
  4. Step 4: Simplify right side
    380,236x = 696,942,798,561
  5. Step 5: Solve for x
    x = 696,942,798,561/380,236
  6. Step 6: Final answer
    x = 1,832,921.66

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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.