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Finding the Third Proportional to 352,842 and 832,803

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Solution

The third proportional to 352,842 and 832,803 is: 1,965,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,842 : 832,803 = 832,803 : x
  2. Step 2: Convert to fraction form
    352,842/832,803 = 832,803/x
  3. Step 3: Cross multiply
    352,842x = 832,803 × 832,803
  4. Step 4: Simplify right side
    352,842x = 693,560,836,809
  5. Step 5: Solve for x
    x = 693,560,836,809/352,842
  6. Step 6: Final answer
    x = 1,965,641.38

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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.