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Finding the Third Proportional to 308,517 and 466,062

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Solution

The third proportional to 308,517 and 466,062 is: 704,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,517 : 466,062 = 466,062 : x
  2. Step 2: Convert to fraction form
    308,517/466,062 = 466,062/x
  3. Step 3: Cross multiply
    308,517x = 466,062 × 466,062
  4. Step 4: Simplify right side
    308,517x = 217,213,787,844
  5. Step 5: Solve for x
    x = 217,213,787,844/308,517
  6. Step 6: Final answer
    x = 704,057.76

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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.