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Finding the Third Proportional to 384,844.50 and 819,512

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Solution

The third proportional to 384,844.50 and 819,512 is: 1,745,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,844.50 : 819,512 = 819,512 : x
  2. Step 2: Convert to fraction form
    384,844.50/819,512 = 819,512/x
  3. Step 3: Cross multiply
    384,844.50x = 819,512 × 819,512
  4. Step 4: Simplify right side
    384,844.50x = 671,599,918,144
  5. Step 5: Solve for x
    x = 671,599,918,144/384,844.50
  6. Step 6: Final answer
    x = 1,745,120.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.