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Finding the Third Proportional to 384,198 and 563,841

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Solution

The third proportional to 384,198 and 563,841 is: 827,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,198 : 563,841 = 563,841 : x
  2. Step 2: Convert to fraction form
    384,198/563,841 = 563,841/x
  3. Step 3: Cross multiply
    384,198x = 563,841 × 563,841
  4. Step 4: Simplify right side
    384,198x = 317,916,673,281
  5. Step 5: Solve for x
    x = 317,916,673,281/384,198
  6. Step 6: Final answer
    x = 827,481.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.