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Finding the Third Proportional to 565,960.50 and 856,231.88

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Solution

The third proportional to 565,960.50 and 856,231.88 is: 1,295,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,960.50 : 856,231.88 = 856,231.88 : x
  2. Step 2: Convert to fraction form
    565,960.50/856,231.88 = 856,231.88/x
  3. Step 3: Cross multiply
    565,960.50x = 856,231.88 × 856,231.88
  4. Step 4: Simplify right side
    565,960.50x = 733,133,023,766.02
  5. Step 5: Solve for x
    x = 733,133,023,766.02/565,960.50
  6. Step 6: Final answer
    x = 1,295,378.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.