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Finding the Third Proportional to 339,591.50 and 459,564.75

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Solution

The third proportional to 339,591.50 and 459,564.75 is: 621,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,591.50 : 459,564.75 = 459,564.75 : x
  2. Step 2: Convert to fraction form
    339,591.50/459,564.75 = 459,564.75/x
  3. Step 3: Cross multiply
    339,591.50x = 459,564.75 × 459,564.75
  4. Step 4: Simplify right side
    339,591.50x = 211,199,759,442.56
  5. Step 5: Solve for x
    x = 211,199,759,442.56/339,591.50
  6. Step 6: Final answer
    x = 621,922.99

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