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Finding the Third Proportional to 639,505.50 and 923,901

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Solution

The third proportional to 639,505.50 and 923,901 is: 1,334,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,505.50 : 923,901 = 923,901 : x
  2. Step 2: Convert to fraction form
    639,505.50/923,901 = 923,901/x
  3. Step 3: Cross multiply
    639,505.50x = 923,901 × 923,901
  4. Step 4: Simplify right side
    639,505.50x = 853,593,057,801
  5. Step 5: Solve for x
    x = 853,593,057,801/639,505.50
  6. Step 6: Final answer
    x = 1,334,770.47

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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.