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Finding the Third Proportional to 289,251 and 447,813

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Solution

The third proportional to 289,251 and 447,813 is: 693,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,251 : 447,813 = 447,813 : x
  2. Step 2: Convert to fraction form
    289,251/447,813 = 447,813/x
  3. Step 3: Cross multiply
    289,251x = 447,813 × 447,813
  4. Step 4: Simplify right side
    289,251x = 200,536,482,969
  5. Step 5: Solve for x
    x = 200,536,482,969/289,251
  6. Step 6: Final answer
    x = 693,295.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.