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Finding the Third Proportional to 339,153.75 and 524,910.38

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Solution

The third proportional to 339,153.75 and 524,910.38 is: 812,407.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,153.75 : 524,910.38 = 524,910.38 : x
  2. Step 2: Convert to fraction form
    339,153.75/524,910.38 = 524,910.38/x
  3. Step 3: Cross multiply
    339,153.75x = 524,910.38 × 524,910.38
  4. Step 4: Simplify right side
    339,153.75x = 275,530,901,782.64
  5. Step 5: Solve for x
    x = 275,530,901,782.64/339,153.75
  6. Step 6: Final answer
    x = 812,407.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.