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Finding the Third Proportional to 352,878 and 832,893

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Solution

The third proportional to 352,878 and 832,893 is: 1,965,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,878 : 832,893 = 832,893 : x
  2. Step 2: Convert to fraction form
    352,878/832,893 = 832,893/x
  3. Step 3: Cross multiply
    352,878x = 832,893 × 832,893
  4. Step 4: Simplify right side
    352,878x = 693,710,749,449
  5. Step 5: Solve for x
    x = 693,710,749,449/352,878
  6. Step 6: Final answer
    x = 1,965,865.68

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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.