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Finding the Third Proportional to 339,589 and 459,560

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Solution

The third proportional to 339,589 and 459,560 is: 621,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,589 : 459,560 = 459,560 : x
  2. Step 2: Convert to fraction form
    339,589/459,560 = 459,560/x
  3. Step 3: Cross multiply
    339,589x = 459,560 × 459,560
  4. Step 4: Simplify right side
    339,589x = 211,195,393,600
  5. Step 5: Solve for x
    x = 211,195,393,600/339,589
  6. Step 6: Final answer
    x = 621,914.71

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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.