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Finding the Third Proportional to 339,766.31 and 459,825.19

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Solution

The third proportional to 339,766.31 and 459,825.19 is: 622,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,766.31 : 459,825.19 = 459,825.19 : x
  2. Step 2: Convert to fraction form
    339,766.31/459,825.19 = 459,825.19/x
  3. Step 3: Cross multiply
    339,766.31x = 459,825.19 × 459,825.19
  4. Step 4: Simplify right side
    339,766.31x = 211,439,203,059.41
  5. Step 5: Solve for x
    x = 211,439,203,059.41/339,766.31
  6. Step 6: Final answer
    x = 622,307.73

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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.