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Finding the Third Proportional to 264,606 and 399,366

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Solution

The third proportional to 264,606 and 399,366 is: 602,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,606 : 399,366 = 399,366 : x
  2. Step 2: Convert to fraction form
    264,606/399,366 = 399,366/x
  3. Step 3: Cross multiply
    264,606x = 399,366 × 399,366
  4. Step 4: Simplify right side
    264,606x = 159,493,201,956
  5. Step 5: Solve for x
    x = 159,493,201,956/264,606
  6. Step 6: Final answer
    x = 602,757.31

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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.