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Finding the Third Proportional to 384,889.50 and 844,137

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Solution

The third proportional to 384,889.50 and 844,137 is: 1,851,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,889.50 : 844,137 = 844,137 : x
  2. Step 2: Convert to fraction form
    384,889.50/844,137 = 844,137/x
  3. Step 3: Cross multiply
    384,889.50x = 844,137 × 844,137
  4. Step 4: Simplify right side
    384,889.50x = 712,567,274,769
  5. Step 5: Solve for x
    x = 712,567,274,769/384,889.50
  6. Step 6: Final answer
    x = 1,851,355.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.