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Finding the Third Proportional to 347,146 and 703,948

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Solution

The third proportional to 347,146 and 703,948 is: 1,427,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,146 : 703,948 = 703,948 : x
  2. Step 2: Convert to fraction form
    347,146/703,948 = 703,948/x
  3. Step 3: Cross multiply
    347,146x = 703,948 × 703,948
  4. Step 4: Simplify right side
    347,146x = 495,542,786,704
  5. Step 5: Solve for x
    x = 495,542,786,704/347,146
  6. Step 6: Final answer
    x = 1,427,476.59

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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.