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Finding the Third Proportional to 225,625.50 and 486,516.38

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Solution

The third proportional to 225,625.50 and 486,516.38 is: 1,049,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,625.50 : 486,516.38 = 486,516.38 : x
  2. Step 2: Convert to fraction form
    225,625.50/486,516.38 = 486,516.38/x
  3. Step 3: Cross multiply
    225,625.50x = 486,516.38 × 486,516.38
  4. Step 4: Simplify right side
    225,625.50x = 236,698,183,143.14
  5. Step 5: Solve for x
    x = 236,698,183,143.14/225,625.50
  6. Step 6: Final answer
    x = 1,049,075.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.