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Finding the Third Proportional to 308,494 and 466,626

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Solution

The third proportional to 308,494 and 466,626 is: 705,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,494 : 466,626 = 466,626 : x
  2. Step 2: Convert to fraction form
    308,494/466,626 = 466,626/x
  3. Step 3: Cross multiply
    308,494x = 466,626 × 466,626
  4. Step 4: Simplify right side
    308,494x = 217,739,823,876
  5. Step 5: Solve for x
    x = 217,739,823,876/308,494
  6. Step 6: Final answer
    x = 705,815.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.