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Finding the Third Proportional to 339,612.75 and 459,596.53

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Solution

The third proportional to 339,612.75 and 459,596.53 is: 621,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,612.75 : 459,596.53 = 459,596.53 : x
  2. Step 2: Convert to fraction form
    339,612.75/459,596.53 = 459,596.53/x
  3. Step 3: Cross multiply
    339,612.75x = 459,596.53 × 459,596.53
  4. Step 4: Simplify right side
    339,612.75x = 211,228,971,537.03
  5. Step 5: Solve for x
    x = 211,228,971,537.03/339,612.75
  6. Step 6: Final answer
    x = 621,970.09

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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.