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Finding the Third Proportional to 392,506.50 and 622,537.50

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Solution

The third proportional to 392,506.50 and 622,537.50 is: 987,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,506.50 : 622,537.50 = 622,537.50 : x
  2. Step 2: Convert to fraction form
    392,506.50/622,537.50 = 622,537.50/x
  3. Step 3: Cross multiply
    392,506.50x = 622,537.50 × 622,537.50
  4. Step 4: Simplify right side
    392,506.50x = 387,552,938,906.25
  5. Step 5: Solve for x
    x = 387,552,938,906.25/392,506.50
  6. Step 6: Final answer
    x = 987,379.67

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.