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Finding the Third Proportional to 264,613.50 and 397,514.25

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Solution

The third proportional to 264,613.50 and 397,514.25 is: 597,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,613.50 : 397,514.25 = 397,514.25 : x
  2. Step 2: Convert to fraction form
    264,613.50/397,514.25 = 397,514.25/x
  3. Step 3: Cross multiply
    264,613.50x = 397,514.25 × 397,514.25
  4. Step 4: Simplify right side
    264,613.50x = 158,017,578,953.06
  5. Step 5: Solve for x
    x = 158,017,578,953.06/264,613.50
  6. Step 6: Final answer
    x = 597,163.71

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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.