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Finding the Third Proportional to 197,562 and 418,635

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Solution

The third proportional to 197,562 and 418,635 is: 887,089.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,562 : 418,635 = 418,635 : x
  2. Step 2: Convert to fraction form
    197,562/418,635 = 418,635/x
  3. Step 3: Cross multiply
    197,562x = 418,635 × 418,635
  4. Step 4: Simplify right side
    197,562x = 175,255,263,225
  5. Step 5: Solve for x
    x = 175,255,263,225/197,562
  6. Step 6: Final answer
    x = 887,089.94

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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.