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Finding the Third Proportional to 347,072 and 703,802

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Solution

The third proportional to 347,072 and 703,802 is: 1,427,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,072 : 703,802 = 703,802 : x
  2. Step 2: Convert to fraction form
    347,072/703,802 = 703,802/x
  3. Step 3: Cross multiply
    347,072x = 703,802 × 703,802
  4. Step 4: Simplify right side
    347,072x = 495,337,255,204
  5. Step 5: Solve for x
    x = 495,337,255,204/347,072
  6. Step 6: Final answer
    x = 1,427,188.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.