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Finding the Third Proportional to 339,076.13 and 524,571.19

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Solution

The third proportional to 339,076.13 and 524,571.19 is: 811,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,076.13 : 524,571.19 = 524,571.19 : x
  2. Step 2: Convert to fraction form
    339,076.13/524,571.19 = 524,571.19/x
  3. Step 3: Cross multiply
    339,076.13x = 524,571.19 × 524,571.19
  4. Step 4: Simplify right side
    339,076.13x = 275,174,930,755.16
  5. Step 5: Solve for x
    x = 275,174,930,755.16/339,076.13
  6. Step 6: Final answer
    x = 811,543.22

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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.