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Finding the Third Proportional to 193,620 and 410,314

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Solution

The third proportional to 193,620 and 410,314 is: 869,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,620 : 410,314 = 410,314 : x
  2. Step 2: Convert to fraction form
    193,620/410,314 = 410,314/x
  3. Step 3: Cross multiply
    193,620x = 410,314 × 410,314
  4. Step 4: Simplify right side
    193,620x = 168,357,578,596
  5. Step 5: Solve for x
    x = 168,357,578,596/193,620
  6. Step 6: Final answer
    x = 869,525.76

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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.