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Finding the Third Proportional to 325,563 and 703,766

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Solution

The third proportional to 325,563 and 703,766 is: 1,521,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,563 : 703,766 = 703,766 : x
  2. Step 2: Convert to fraction form
    325,563/703,766 = 703,766/x
  3. Step 3: Cross multiply
    325,563x = 703,766 × 703,766
  4. Step 4: Simplify right side
    325,563x = 495,286,582,756
  5. Step 5: Solve for x
    x = 495,286,582,756/325,563
  6. Step 6: Final answer
    x = 1,521,323.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.