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Finding the Third Proportional to 193,509 and 410,529

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Solution

The third proportional to 193,509 and 410,529 is: 870,936.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,509 : 410,529 = 410,529 : x
  2. Step 2: Convert to fraction form
    193,509/410,529 = 410,529/x
  3. Step 3: Cross multiply
    193,509x = 410,529 × 410,529
  4. Step 4: Simplify right side
    193,509x = 168,534,059,841
  5. Step 5: Solve for x
    x = 168,534,059,841/193,509
  6. Step 6: Final answer
    x = 870,936.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.