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Finding the Third Proportional to 382,038 and 795,474

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Solution

The third proportional to 382,038 and 795,474 is: 1,656,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,038 : 795,474 = 795,474 : x
  2. Step 2: Convert to fraction form
    382,038/795,474 = 795,474/x
  3. Step 3: Cross multiply
    382,038x = 795,474 × 795,474
  4. Step 4: Simplify right side
    382,038x = 632,778,884,676
  5. Step 5: Solve for x
    x = 632,778,884,676/382,038
  6. Step 6: Final answer
    x = 1,656,324.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.