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Finding the Third Proportional to 352,671 and 832,383

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Solution

The third proportional to 352,671 and 832,383 is: 1,964,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,671 : 832,383 = 832,383 : x
  2. Step 2: Convert to fraction form
    352,671/832,383 = 832,383/x
  3. Step 3: Cross multiply
    352,671x = 832,383 × 832,383
  4. Step 4: Simplify right side
    352,671x = 692,861,458,689
  5. Step 5: Solve for x
    x = 692,861,458,689/352,671
  6. Step 6: Final answer
    x = 1,964,611.38

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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.