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Finding the Third Proportional to 376,543 and 814,268

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Solution

The third proportional to 376,543 and 814,268 is: 1,760,841.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,543 : 814,268 = 814,268 : x
  2. Step 2: Convert to fraction form
    376,543/814,268 = 814,268/x
  3. Step 3: Cross multiply
    376,543x = 814,268 × 814,268
  4. Step 4: Simplify right side
    376,543x = 663,032,375,824
  5. Step 5: Solve for x
    x = 663,032,375,824/376,543
  6. Step 6: Final answer
    x = 1,760,841.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.