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Finding the Third Proportional to 352,846 and 832,812

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Solution

The third proportional to 352,846 and 832,812 is: 1,965,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,846 : 832,812 = 832,812 : x
  2. Step 2: Convert to fraction form
    352,846/832,812 = 832,812/x
  3. Step 3: Cross multiply
    352,846x = 832,812 × 832,812
  4. Step 4: Simplify right side
    352,846x = 693,575,827,344
  5. Step 5: Solve for x
    x = 693,575,827,344/352,846
  6. Step 6: Final answer
    x = 1,965,661.58

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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.