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Finding the Third Proportional to 352,874 and 832,883

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Solution

The third proportional to 352,874 and 832,883 is: 1,965,840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,874 : 832,883 = 832,883 : x
  2. Step 2: Convert to fraction form
    352,874/832,883 = 832,883/x
  3. Step 3: Cross multiply
    352,874x = 832,883 × 832,883
  4. Step 4: Simplify right side
    352,874x = 693,694,091,689
  5. Step 5: Solve for x
    x = 693,694,091,689/352,874
  6. Step 6: Final answer
    x = 1,965,840.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.