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Finding the Third Proportional to 339,909.75 and 460,004.06

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Solution

The third proportional to 339,909.75 and 460,004.06 is: 622,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,909.75 : 460,004.06 = 460,004.06 : x
  2. Step 2: Convert to fraction form
    339,909.75/460,004.06 = 460,004.06/x
  3. Step 3: Cross multiply
    339,909.75x = 460,004.06 × 460,004.06
  4. Step 4: Simplify right side
    339,909.75x = 211,603,737,516.50
  5. Step 5: Solve for x
    x = 211,603,737,516.50/339,909.75
  6. Step 6: Final answer
    x = 622,529.18

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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.