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Finding the Third Proportional to 361,615.50 and 781,551

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Solution

The third proportional to 361,615.50 and 781,551 is: 1,689,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,615.50 : 781,551 = 781,551 : x
  2. Step 2: Convert to fraction form
    361,615.50/781,551 = 781,551/x
  3. Step 3: Cross multiply
    361,615.50x = 781,551 × 781,551
  4. Step 4: Simplify right side
    361,615.50x = 610,821,965,601
  5. Step 5: Solve for x
    x = 610,821,965,601/361,615.50
  6. Step 6: Final answer
    x = 1,689,147.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.