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Finding the Third Proportional to 247,626 and 393,906

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Solution

The third proportional to 247,626 and 393,906 is: 626,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,626 : 393,906 = 393,906 : x
  2. Step 2: Convert to fraction form
    247,626/393,906 = 393,906/x
  3. Step 3: Cross multiply
    247,626x = 393,906 × 393,906
  4. Step 4: Simplify right side
    247,626x = 155,161,936,836
  5. Step 5: Solve for x
    x = 155,161,936,836/247,626
  6. Step 6: Final answer
    x = 626,597.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.