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Finding the Third Proportional to 361,786.50 and 531,840.94

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Solution

The third proportional to 361,786.50 and 531,840.94 is: 781,827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,786.50 : 531,840.94 = 531,840.94 : x
  2. Step 2: Convert to fraction form
    361,786.50/531,840.94 = 531,840.94/x
  3. Step 3: Cross multiply
    361,786.50x = 531,840.94 × 531,840.94
  4. Step 4: Simplify right side
    361,786.50x = 282,854,782,800.88
  5. Step 5: Solve for x
    x = 282,854,782,800.88/361,786.50
  6. Step 6: Final answer
    x = 781,827.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.