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Finding the Third Proportional to 382,344 and 831,756

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Solution

The third proportional to 382,344 and 831,756 is: 1,809,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,344 : 831,756 = 831,756 : x
  2. Step 2: Convert to fraction form
    382,344/831,756 = 831,756/x
  3. Step 3: Cross multiply
    382,344x = 831,756 × 831,756
  4. Step 4: Simplify right side
    382,344x = 691,818,043,536
  5. Step 5: Solve for x
    x = 691,818,043,536/382,344
  6. Step 6: Final answer
    x = 1,809,412.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.