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Finding the Third Proportional to 262,610.44 and 411,525.56

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Solution

The third proportional to 262,610.44 and 411,525.56 is: 644,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,610.44 : 411,525.56 = 411,525.56 : x
  2. Step 2: Convert to fraction form
    262,610.44/411,525.56 = 411,525.56/x
  3. Step 3: Cross multiply
    262,610.44x = 411,525.56 × 411,525.56
  4. Step 4: Simplify right side
    262,610.44x = 169,353,288,590.94
  5. Step 5: Solve for x
    x = 169,353,288,590.94/262,610.44
  6. Step 6: Final answer
    x = 644,884.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.