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Finding the Third Proportional to 339,063.75 and 460,478.25

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Solution

The third proportional to 339,063.75 and 460,478.25 is: 625,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,063.75 : 460,478.25 = 460,478.25 : x
  2. Step 2: Convert to fraction form
    339,063.75/460,478.25 = 460,478.25/x
  3. Step 3: Cross multiply
    339,063.75x = 460,478.25 × 460,478.25
  4. Step 4: Simplify right side
    339,063.75x = 212,040,218,723.06
  5. Step 5: Solve for x
    x = 212,040,218,723.06/339,063.75
  6. Step 6: Final answer
    x = 625,369.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.