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Finding the Third Proportional to 263,859.19 and 514,596.38

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Solution

The third proportional to 263,859.19 and 514,596.38 is: 1,003,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,859.19 : 514,596.38 = 514,596.38 : x
  2. Step 2: Convert to fraction form
    263,859.19/514,596.38 = 514,596.38/x
  3. Step 3: Cross multiply
    263,859.19x = 514,596.38 × 514,596.38
  4. Step 4: Simplify right side
    263,859.19x = 264,809,429,163.14
  5. Step 5: Solve for x
    x = 264,809,429,163.14/263,859.19
  6. Step 6: Final answer
    x = 1,003,601.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.