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Finding the Third Proportional to 347,058 and 703,775

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Solution

The third proportional to 347,058 and 703,775 is: 1,427,136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,058 : 703,775 = 703,775 : x
  2. Step 2: Convert to fraction form
    347,058/703,775 = 703,775/x
  3. Step 3: Cross multiply
    347,058x = 703,775 × 703,775
  4. Step 4: Simplify right side
    347,058x = 495,299,250,625
  5. Step 5: Solve for x
    x = 495,299,250,625/347,058
  6. Step 6: Final answer
    x = 1,427,136.82

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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.