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Finding the Third Proportional to 262,600.50 and 397,032.75

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Solution

The third proportional to 262,600.50 and 397,032.75 is: 600,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,600.50 : 397,032.75 = 397,032.75 : x
  2. Step 2: Convert to fraction form
    262,600.50/397,032.75 = 397,032.75/x
  3. Step 3: Cross multiply
    262,600.50x = 397,032.75 × 397,032.75
  4. Step 4: Simplify right side
    262,600.50x = 157,635,004,572.56
  5. Step 5: Solve for x
    x = 157,635,004,572.56/262,600.50
  6. Step 6: Final answer
    x = 600,284.48

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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.