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Finding the Third Proportional to 347,066 and 703,792

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Solution

The third proportional to 347,066 and 703,792 is: 1,427,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,066 : 703,792 = 703,792 : x
  2. Step 2: Convert to fraction form
    347,066/703,792 = 703,792/x
  3. Step 3: Cross multiply
    347,066x = 703,792 × 703,792
  4. Step 4: Simplify right side
    347,066x = 495,323,179,264
  5. Step 5: Solve for x
    x = 495,323,179,264/347,066
  6. Step 6: Final answer
    x = 1,427,172.87

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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.