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Finding the Third Proportional to 201,738 and 434,597

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Solution

The third proportional to 201,738 and 434,597 is: 936,236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,738 : 434,597 = 434,597 : x
  2. Step 2: Convert to fraction form
    201,738/434,597 = 434,597/x
  3. Step 3: Cross multiply
    201,738x = 434,597 × 434,597
  4. Step 4: Simplify right side
    201,738x = 188,874,552,409
  5. Step 5: Solve for x
    x = 188,874,552,409/201,738
  6. Step 6: Final answer
    x = 936,236.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.