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Finding the Third Proportional to 262,600.50 and 416,863.50

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Solution

The third proportional to 262,600.50 and 416,863.50 is: 661,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,600.50 : 416,863.50 = 416,863.50 : x
  2. Step 2: Convert to fraction form
    262,600.50/416,863.50 = 416,863.50/x
  3. Step 3: Cross multiply
    262,600.50x = 416,863.50 × 416,863.50
  4. Step 4: Simplify right side
    262,600.50x = 173,775,177,632.25
  5. Step 5: Solve for x
    x = 173,775,177,632.25/262,600.50
  6. Step 6: Final answer
    x = 661,747.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.