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Finding the Third Proportional to 352,836 and 832,788

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Solution

The third proportional to 352,836 and 832,788 is: 1,965,604

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,836 : 832,788 = 832,788 : x
  2. Step 2: Convert to fraction form
    352,836/832,788 = 832,788/x
  3. Step 3: Cross multiply
    352,836x = 832,788 × 832,788
  4. Step 4: Simplify right side
    352,836x = 693,535,852,944
  5. Step 5: Solve for x
    x = 693,535,852,944/352,836
  6. Step 6: Final answer
    x = 1,965,604

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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.