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Finding the Third Proportional to 363,692 and 789,592

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Solution

The third proportional to 363,692 and 789,592 is: 1,714,240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,692 : 789,592 = 789,592 : x
  2. Step 2: Convert to fraction form
    363,692/789,592 = 789,592/x
  3. Step 3: Cross multiply
    363,692x = 789,592 × 789,592
  4. Step 4: Simplify right side
    363,692x = 623,455,526,464
  5. Step 5: Solve for x
    x = 623,455,526,464/363,692
  6. Step 6: Final answer
    x = 1,714,240.42

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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.