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Finding the Third Proportional to 197,571 and 418,653

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Solution

The third proportional to 197,571 and 418,653 is: 887,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,571 : 418,653 = 418,653 : x
  2. Step 2: Convert to fraction form
    197,571/418,653 = 418,653/x
  3. Step 3: Cross multiply
    197,571x = 418,653 × 418,653
  4. Step 4: Simplify right side
    197,571x = 175,270,334,409
  5. Step 5: Solve for x
    x = 175,270,334,409/197,571
  6. Step 6: Final answer
    x = 887,125.82

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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.