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Finding the Third Proportional to 208,061 and 447,723

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Solution

The third proportional to 208,061 and 447,723 is: 963,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,061 : 447,723 = 447,723 : x
  2. Step 2: Convert to fraction form
    208,061/447,723 = 447,723/x
  3. Step 3: Cross multiply
    208,061x = 447,723 × 447,723
  4. Step 4: Simplify right side
    208,061x = 200,455,884,729
  5. Step 5: Solve for x
    x = 200,455,884,729/208,061
  6. Step 6: Final answer
    x = 963,447.67

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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.