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Finding the Third Proportional to 352,872 and 832,878

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Solution

The third proportional to 352,872 and 832,878 is: 1,965,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,872 : 832,878 = 832,878 : x
  2. Step 2: Convert to fraction form
    352,872/832,878 = 832,878/x
  3. Step 3: Cross multiply
    352,872x = 832,878 × 832,878
  4. Step 4: Simplify right side
    352,872x = 693,685,762,884
  5. Step 5: Solve for x
    x = 693,685,762,884/352,872
  6. Step 6: Final answer
    x = 1,965,828.30

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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.