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Finding the Third Proportional to 193,526 and 410,540

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Solution

The third proportional to 193,526 and 410,540 is: 870,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,526 : 410,540 = 410,540 : x
  2. Step 2: Convert to fraction form
    193,526/410,540 = 410,540/x
  3. Step 3: Cross multiply
    193,526x = 410,540 × 410,540
  4. Step 4: Simplify right side
    193,526x = 168,543,091,600
  5. Step 5: Solve for x
    x = 168,543,091,600/193,526
  6. Step 6: Final answer
    x = 870,906.71

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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.