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Finding the Third Proportional to 325,583 and 703,801

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Solution

The third proportional to 325,583 and 703,801 is: 1,521,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,583 : 703,801 = 703,801 : x
  2. Step 2: Convert to fraction form
    325,583/703,801 = 703,801/x
  3. Step 3: Cross multiply
    325,583x = 703,801 × 703,801
  4. Step 4: Simplify right side
    325,583x = 495,335,847,601
  5. Step 5: Solve for x
    x = 495,335,847,601/325,583
  6. Step 6: Final answer
    x = 1,521,381.18

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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.