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Finding the Third Proportional to 347,059 and 703,777

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Solution

The third proportional to 347,059 and 703,777 is: 1,427,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,059 : 703,777 = 703,777 : x
  2. Step 2: Convert to fraction form
    347,059/703,777 = 703,777/x
  3. Step 3: Cross multiply
    347,059x = 703,777 × 703,777
  4. Step 4: Simplify right side
    347,059x = 495,302,065,729
  5. Step 5: Solve for x
    x = 495,302,065,729/347,059
  6. Step 6: Final answer
    x = 1,427,140.82

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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.