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Finding the Third Proportional to 323,367.75 and 680,222.25

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Solution

The third proportional to 323,367.75 and 680,222.25 is: 1,430,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,367.75 : 680,222.25 = 680,222.25 : x
  2. Step 2: Convert to fraction form
    323,367.75/680,222.25 = 680,222.25/x
  3. Step 3: Cross multiply
    323,367.75x = 680,222.25 × 680,222.25
  4. Step 4: Simplify right side
    323,367.75x = 462,702,309,395.06
  5. Step 5: Solve for x
    x = 462,702,309,395.06/323,367.75
  6. Step 6: Final answer
    x = 1,430,885.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.