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Finding the Third Proportional to 197,016 and 418,584

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Solution

The third proportional to 197,016 and 418,584 is: 889,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,016 : 418,584 = 418,584 : x
  2. Step 2: Convert to fraction form
    197,016/418,584 = 418,584/x
  3. Step 3: Cross multiply
    197,016x = 418,584 × 418,584
  4. Step 4: Simplify right side
    197,016x = 175,212,565,056
  5. Step 5: Solve for x
    x = 175,212,565,056/197,016
  6. Step 6: Final answer
    x = 889,331.65

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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.