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Finding the Third Proportional to 399,777.75 and 863,563.50

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Solution

The third proportional to 399,777.75 and 863,563.50 is: 1,865,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,777.75 : 863,563.50 = 863,563.50 : x
  2. Step 2: Convert to fraction form
    399,777.75/863,563.50 = 863,563.50/x
  3. Step 3: Cross multiply
    399,777.75x = 863,563.50 × 863,563.50
  4. Step 4: Simplify right side
    399,777.75x = 745,741,918,532.25
  5. Step 5: Solve for x
    x = 745,741,918,532.25/399,777.75
  6. Step 6: Final answer
    x = 1,865,391.25

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Why These Related Problems?

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