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Finding the Third Proportional to 363,264 and 791,920

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Solution

The third proportional to 363,264 and 791,920 is: 1,726,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,264 : 791,920 = 791,920 : x
  2. Step 2: Convert to fraction form
    363,264/791,920 = 791,920/x
  3. Step 3: Cross multiply
    363,264x = 791,920 × 791,920
  4. Step 4: Simplify right side
    363,264x = 627,137,286,400
  5. Step 5: Solve for x
    x = 627,137,286,400/363,264
  6. Step 6: Final answer
    x = 1,726,395.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.