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Finding the Third Proportional to 339,553.13 and 459,505.69

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Solution

The third proportional to 339,553.13 and 459,505.69 is: 621,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,553.13 : 459,505.69 = 459,505.69 : x
  2. Step 2: Convert to fraction form
    339,553.13/459,505.69 = 459,505.69/x
  3. Step 3: Cross multiply
    339,553.13x = 459,505.69 × 459,505.69
  4. Step 4: Simplify right side
    339,553.13x = 211,145,476,844.85
  5. Step 5: Solve for x
    x = 211,145,476,844.85/339,553.13
  6. Step 6: Final answer
    x = 621,833.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.