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Finding the Third Proportional to 380,079 and 819,074

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Solution

The third proportional to 380,079 and 819,074 is: 1,765,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,079 : 819,074 = 819,074 : x
  2. Step 2: Convert to fraction form
    380,079/819,074 = 819,074/x
  3. Step 3: Cross multiply
    380,079x = 819,074 × 819,074
  4. Step 4: Simplify right side
    380,079x = 670,882,217,476
  5. Step 5: Solve for x
    x = 670,882,217,476/380,079
  6. Step 6: Final answer
    x = 1,765,112.56

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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.