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Finding the Third Proportional to 382,734 and 838,734

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Solution

The third proportional to 382,734 and 838,734 is: 1,838,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,734 : 838,734 = 838,734 : x
  2. Step 2: Convert to fraction form
    382,734/838,734 = 838,734/x
  3. Step 3: Cross multiply
    382,734x = 838,734 × 838,734
  4. Step 4: Simplify right side
    382,734x = 703,474,722,756
  5. Step 5: Solve for x
    x = 703,474,722,756/382,734
  6. Step 6: Final answer
    x = 1,838,025.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.