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Finding the Third Proportional to 363,717 and 789,642

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Solution

The third proportional to 363,717 and 789,642 is: 1,714,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,717 : 789,642 = 789,642 : x
  2. Step 2: Convert to fraction form
    363,717/789,642 = 789,642/x
  3. Step 3: Cross multiply
    363,717x = 789,642 × 789,642
  4. Step 4: Simplify right side
    363,717x = 623,534,488,164
  5. Step 5: Solve for x
    x = 623,534,488,164/363,717
  6. Step 6: Final answer
    x = 1,714,339.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.