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Finding the Third Proportional to 400,852.13 and 834,872.63

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Solution

The third proportional to 400,852.13 and 834,872.63 is: 1,738,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,852.13 : 834,872.63 = 834,872.63 : x
  2. Step 2: Convert to fraction form
    400,852.13/834,872.63 = 834,872.63/x
  3. Step 3: Cross multiply
    400,852.13x = 834,872.63 × 834,872.63
  4. Step 4: Simplify right side
    400,852.13x = 697,012,299,974.39
  5. Step 5: Solve for x
    x = 697,012,299,974.39/400,852.13
  6. Step 6: Final answer
    x = 1,738,826.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.