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Finding the Third Proportional to 376,179.19 and 822,342.38

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Solution

The third proportional to 376,179.19 and 822,342.38 is: 1,797,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,179.19 : 822,342.38 = 822,342.38 : x
  2. Step 2: Convert to fraction form
    376,179.19/822,342.38 = 822,342.38/x
  3. Step 3: Cross multiply
    376,179.19x = 822,342.38 × 822,342.38
  4. Step 4: Simplify right side
    376,179.19x = 676,246,981,720.64
  5. Step 5: Solve for x
    x = 676,246,981,720.64/376,179.19
  6. Step 6: Final answer
    x = 1,797,672.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.