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Finding the Third Proportional to 352,910 and 832,965

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Solution

The third proportional to 352,910 and 832,965 is: 1,966,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,910 : 832,965 = 832,965 : x
  2. Step 2: Convert to fraction form
    352,910/832,965 = 832,965/x
  3. Step 3: Cross multiply
    352,910x = 832,965 × 832,965
  4. Step 4: Simplify right side
    352,910x = 693,830,691,225
  5. Step 5: Solve for x
    x = 693,830,691,225/352,910
  6. Step 6: Final answer
    x = 1,966,027.29

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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.