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Finding the Third Proportional to 201,703 and 442,765

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Solution

The third proportional to 201,703 and 442,765 is: 971,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,703 : 442,765 = 442,765 : x
  2. Step 2: Convert to fraction form
    201,703/442,765 = 442,765/x
  3. Step 3: Cross multiply
    201,703x = 442,765 × 442,765
  4. Step 4: Simplify right side
    201,703x = 196,040,845,225
  5. Step 5: Solve for x
    x = 196,040,845,225/201,703
  6. Step 6: Final answer
    x = 971,928.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.