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Finding the Third Proportional to 639,516.50 and 923,914.50

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Solution

The third proportional to 639,516.50 and 923,914.50 is: 1,334,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,516.50 : 923,914.50 = 923,914.50 : x
  2. Step 2: Convert to fraction form
    639,516.50/923,914.50 = 923,914.50/x
  3. Step 3: Cross multiply
    639,516.50x = 923,914.50 × 923,914.50
  4. Step 4: Simplify right side
    639,516.50x = 853,618,003,310.25
  5. Step 5: Solve for x
    x = 853,618,003,310.25/639,516.50
  6. Step 6: Final answer
    x = 1,334,786.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.