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Finding the Third Proportional to 391,978 and 831,057

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Solution

The third proportional to 391,978 and 831,057 is: 1,761,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,978 : 831,057 = 831,057 : x
  2. Step 2: Convert to fraction form
    391,978/831,057 = 831,057/x
  3. Step 3: Cross multiply
    391,978x = 831,057 × 831,057
  4. Step 4: Simplify right side
    391,978x = 690,655,737,249
  5. Step 5: Solve for x
    x = 690,655,737,249/391,978
  6. Step 6: Final answer
    x = 1,761,975.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.