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Finding the Third Proportional to 264,432.94 and 397,234.13

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Solution

The third proportional to 264,432.94 and 397,234.13 is: 596,729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,432.94 : 397,234.13 = 397,234.13 : x
  2. Step 2: Convert to fraction form
    264,432.94/397,234.13 = 397,234.13/x
  3. Step 3: Cross multiply
    264,432.94x = 397,234.13 × 397,234.13
  4. Step 4: Simplify right side
    264,432.94x = 157,794,950,064.52
  5. Step 5: Solve for x
    x = 157,794,950,064.52/264,432.94
  6. Step 6: Final answer
    x = 596,729.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.