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Finding the Third Proportional to 193,482 and 400,635

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Solution

The third proportional to 193,482 and 400,635 is: 829,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,482 : 400,635 = 400,635 : x
  2. Step 2: Convert to fraction form
    193,482/400,635 = 400,635/x
  3. Step 3: Cross multiply
    193,482x = 400,635 × 400,635
  4. Step 4: Simplify right side
    193,482x = 160,508,403,225
  5. Step 5: Solve for x
    x = 160,508,403,225/193,482
  6. Step 6: Final answer
    x = 829,577.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.