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Finding the Third Proportional to 339,552.94 and 459,505.38

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Solution

The third proportional to 339,552.94 and 459,505.38 is: 621,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,552.94 : 459,505.38 = 459,505.38 : x
  2. Step 2: Convert to fraction form
    339,552.94/459,505.38 = 459,505.38/x
  3. Step 3: Cross multiply
    339,552.94x = 459,505.38 × 459,505.38
  4. Step 4: Simplify right side
    339,552.94x = 211,145,189,653.89
  5. Step 5: Solve for x
    x = 211,145,189,653.89/339,552.94
  6. Step 6: Final answer
    x = 621,832.91

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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.