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Finding the Third Proportional to 463,162 and 703,734

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Solution

The third proportional to 463,162 and 703,734 is: 1,069,262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,162 : 703,734 = 703,734 : x
  2. Step 2: Convert to fraction form
    463,162/703,734 = 703,734/x
  3. Step 3: Cross multiply
    463,162x = 703,734 × 703,734
  4. Step 4: Simplify right side
    463,162x = 495,241,542,756
  5. Step 5: Solve for x
    x = 495,241,542,756/463,162
  6. Step 6: Final answer
    x = 1,069,262.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.