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Finding the Third Proportional to 264,403.88 and 397,192.13

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Solution

The third proportional to 264,403.88 and 397,192.13 is: 596,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,403.88 : 397,192.13 = 397,192.13 : x
  2. Step 2: Convert to fraction form
    264,403.88/397,192.13 = 397,192.13/x
  3. Step 3: Cross multiply
    264,403.88x = 397,192.13 × 397,192.13
  4. Step 4: Simplify right side
    264,403.88x = 157,761,584,162.02
  5. Step 5: Solve for x
    x = 157,761,584,162.02/264,403.88
  6. Step 6: Final answer
    x = 596,668.96

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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.