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Finding the Third Proportional to 561,032 and 789,132

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Solution

The third proportional to 561,032 and 789,132 is: 1,109,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,032 : 789,132 = 789,132 : x
  2. Step 2: Convert to fraction form
    561,032/789,132 = 789,132/x
  3. Step 3: Cross multiply
    561,032x = 789,132 × 789,132
  4. Step 4: Simplify right side
    561,032x = 622,729,313,424
  5. Step 5: Solve for x
    x = 622,729,313,424/561,032
  6. Step 6: Final answer
    x = 1,109,971.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.