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Finding the Third Proportional to 382,311 and 831,075

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Solution

The third proportional to 382,311 and 831,075 is: 1,806,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,311 : 831,075 = 831,075 : x
  2. Step 2: Convert to fraction form
    382,311/831,075 = 831,075/x
  3. Step 3: Cross multiply
    382,311x = 831,075 × 831,075
  4. Step 4: Simplify right side
    382,311x = 690,685,655,625
  5. Step 5: Solve for x
    x = 690,685,655,625/382,311
  6. Step 6: Final answer
    x = 1,806,606.81

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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.