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Finding the Third Proportional to 534,966 and 831,015

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Solution

The third proportional to 534,966 and 831,015 is: 1,290,896.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,966 : 831,015 = 831,015 : x
  2. Step 2: Convert to fraction form
    534,966/831,015 = 831,015/x
  3. Step 3: Cross multiply
    534,966x = 831,015 × 831,015
  4. Step 4: Simplify right side
    534,966x = 690,585,930,225
  5. Step 5: Solve for x
    x = 690,585,930,225/534,966
  6. Step 6: Final answer
    x = 1,290,896.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.