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Finding the Third Proportional to 264,519 and 399,163.50

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Solution

The third proportional to 264,519 and 399,163.50 is: 602,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,519 : 399,163.50 = 399,163.50 : x
  2. Step 2: Convert to fraction form
    264,519/399,163.50 = 399,163.50/x
  3. Step 3: Cross multiply
    264,519x = 399,163.50 × 399,163.50
  4. Step 4: Simplify right side
    264,519x = 159,331,499,732.25
  5. Step 5: Solve for x
    x = 159,331,499,732.25/264,519
  6. Step 6: Final answer
    x = 602,344.25

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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.