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Finding the Third Proportional to 262,450.50 and 552,922.50

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Solution

The third proportional to 262,450.50 and 552,922.50 is: 1,164,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,450.50 : 552,922.50 = 552,922.50 : x
  2. Step 2: Convert to fraction form
    262,450.50/552,922.50 = 552,922.50/x
  3. Step 3: Cross multiply
    262,450.50x = 552,922.50 × 552,922.50
  4. Step 4: Simplify right side
    262,450.50x = 305,723,291,006.25
  5. Step 5: Solve for x
    x = 305,723,291,006.25/262,450.50
  6. Step 6: Final answer
    x = 1,164,879.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.