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Finding the Third Proportional to 207,808.50 and 447,675

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Solution

The third proportional to 207,808.50 and 447,675 is: 964,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,808.50 : 447,675 = 447,675 : x
  2. Step 2: Convert to fraction form
    207,808.50/447,675 = 447,675/x
  3. Step 3: Cross multiply
    207,808.50x = 447,675 × 447,675
  4. Step 4: Simplify right side
    207,808.50x = 200,412,905,625
  5. Step 5: Solve for x
    x = 200,412,905,625/207,808.50
  6. Step 6: Final answer
    x = 964,411.49

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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.